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Scope & Sequence 2017-2018Access 3-5 Math

Overview

Students will explore fractions and decimals. They will decompose fractions, and multiply them using visual models. They will solve real-world problems with fractions. They will compare decimals. They will identify and extend numeric patterns.

Students will solve word problems, and check their answers. They will model and record calculations including addition, subtraction, multiplication, and division. They will use number lines to help them solve problems. They will compare numbers using various forms.

Students will explore shapes, and identify their attributes. They will categorize types of polygons. They will investigate shapes that have a line of symmetry.

Students will solve problems involving measurement. They will explore how to measure perimeter and area. They will solve problems involving time. They will solve real-world problems regarding height and volume. They will organize collected data into a graph.

Learning Goals Access Points Weekly Assignments


Essential Understanding:Concrete: Students will use pictures to create fractions.Representation: Students will compare numbers using various forms.

Essential Question: How do I determine equivalent fractions?

MAFS.3.NF.1.AP.3a Identify equivalent fractions on a number line divided into fourths and halves within 3 units.

MAFS.4.NF.1.AP.1a Determine equivalent fractions using visual fraction models and a number line.

MAFS.5.NF.1.AP.2a Solve word problems involving the addition and subtraction of fractions using visual fraction models.

Weekly Assignment 1: Determine equivalent fractions using visual fraction models and a number line.

Essential Understanding:Concrete: Students will use pictures to compare fractions.Representation: Students will compare fractions with a denominator less than 10.

Essential Question: How do I compare fractions?

MAFS.3.NF.1.AP.1b Identify the total number of parts (denominator) of a given representation (rectangles and circles).

MAFS.4.NF.1.AP.2a Use =, <, or > to compare two fractions (fractions with a denominator or 10 or less).

MAFS.5.NF.1.AP.1a Add and subtract fractions with like denominators with sums greater than 1 represented by mixed numbers using visual fraction models.

Weekly Assignment 2: Compare two fractions with a denominator (less than 10) using =, <, >.

Essential Understanding:Concrete: Students will identify a fraction.Representation: Students will decompose a fraction.

Essential Question: How do I decompose a fraction?

MAFS.3.NF.1.AP.1c Identify the fraction that the representation of partitioned rectangles and circles into halves, fourths, thirds, and eighths.

MAFS.4.NF.2.AP.3a Using a representation, decompose a fraction into multiple copies of a unit fraction.

MAFS.5.NF.2.AP.3a Divide unit fractions by whole numbers and whole numbers by unit fractions using visual fraction models.

Weekly Assignment 3: Decompose a fraction into multiple copies of a unit fraction. (e.g., 3/4 = 1/4 + 1/4+ 1/4)



Essential Understanding:Concrete: Students will identify a fraction.Representation: Students will determine whether the product will increase or decrease based on a multiple.

Essential Question: How do I determine if the product will increase or decrease?

MAFS.3.NF.1.AP.1a Identify the number of highlighted parts (numerator) of a given representation (rectangles and circles).

MAFS.4.NF.2.AP.3b Add and subtract fractions with like denominators (2, 3, 4 or 8) using representations.

MAFS.5.NF.2.AP.5a Determine whether the product will increase or decrease based on the multiple using visual fraction models.

Weekly Assignment 4: Determine whether the product will increase or decrease based on the multiple using visual fraction models.

Essential Understanding:Concrete: Students will identify a fraction.Representation: Students will multiple fractions using visual models.

Essential Question: How do I multiple fractions?

MAFS.3.NF.1.AP.2a Locate given common unit fractions (i.e., 1/2, 1/4) on a number line or ruler.

MAFS.4.NF.2.AP.4a Multiply a fraction by a whole number using a visual fraction model.

MAFS.5.NF.2.AP.6a Multiply a fraction by a whole or mixed number using visual fraction models.

Weekly Assignment 5: Multiply a fraction by a whole or mixed number using visual fraction models (or number line).

Essential Understanding:Concrete: Students will identify a decimal.Representation: Students will compare decimals.

Essential Question: How do I compare decimals?

MAFS.4.NF.3.AP.7b Compare two decimals expressed to the tenths place with a value of less than 1 using a visual model.

MAFS.5.NBT.1.AP.3b Compare two decimals to the hundredths place, whose values are less than 1.

Weekly Assignment 6: Compare two decimals expressed to the tenths place with a value of less than 1 using a visual model.

Essential Understanding:Concrete: Students will use objects to represent a group.Representation: Students will select a correct equation to represent a multiplication model.

Essential Question:How do I represent a multiplication equation?

MAFS.3.OA.1.AP.1c Use objects to model multiplication involving up to five groups with up to five objects in each.

MAFS.4.OA.1.AP.1a Use objects to model multiplication involving up to five groups with up to five objects in each and write equations to represent the models.

Weekly Assignment 7: Use objects to model multiplication involving up to five groups and select the correct equation to represent the model.



Essential Understanding:Concrete: Students will match numbers.Representation: Students will record calculations.

Essential Question: How do I write an expression for a calculation?

MAFS.3.OA.1.AP.1b Solve multiplication problems with neither number greater than five.

MAFS.4.OA.1.AP.aa Determine whether an equation with quantities less than 100 is true or false.

MAFS.5.OA.1.AP.2a Write a simple expression for a calculation.

Weekly Assignment 8: Write a simple expression for a calculation.

Essential Understanding:Concrete: Students will simple addition and subtraction problems.Representation: Students will solve and check word problems.

Essential Question: How do I solve word problems?

MAFS.3.OA.4.AP.8a Solve and check one-step word problems using the four operations within 100.

MAFS.4.OA.1.AP.2a Solve multiplicative comparisons with an unknown using up to two-digit numbers with information presented in a graph or word problem (e.g., an orange hat costs $3. A purple hat costs two times as much. How much does the purple hat cost? [3 x 2 = p]).

Weekly Assignment 9: Solve one-step word problems using the four operations.

Essential Understanding:Concrete: Students will identify basic math vocabulary (plus, minus)Representation: Students will solve a one-step word problem.

Essential Question: How do I solve and check a one-step word problem?

MAFS.3.OA.1.AP.3a Solve and check one- or two-step word problems requiring multiplication or division with the product or quotient up to 50.

MAFS.4.OA.1.AP.3a Solve and check one- or two-step word problems requiring the four operations within 100.

Weekly Assignment 10: Solve and check a one-step word problem requiring the four operations.

Essential Understanding:Concrete: Students will identify patterns.Representation: Students will identify a numeric pattern given a data set.

Essential Question: How do I identify a numeric pattern?

MAFS.3.OA.4.AP.9c Identify multiplication patterns in a real-world setting.

MAFS.4.OA.3.AP.5a Generate a pattern when given a rule.

MAFS.5.OA.2.AP.3a Given two pattern descriptions involving the same context (e.g., collecting marbles), determine the first five terms and compare the values.

Weekly Assignment 11: Identify a numeric pattern given a data set in a table.



Essential Understanding:Concrete: Students will identify patterns.Representation: Students will extend patterns when the rule is provided.

Essential Question: How do I extend a numerical pattern?

MAFS.3.OA.4.AP.9a Identify and describe the rule for a numerical pattern where numbers increase by 2, 5 or 10.

MAFS.4.OA.3.AP.5b Extend a numerical pattern when the rule is provided.

Weekly Assignment 12: Extend a numerical pattern when the rule is provided.

Essential Understanding:Concrete: Students will identify numbers.Representation: Students will skip count by twos.

Essential Question: What are the multiples of 2?

MAFS.3.OA.3.AP.7b Fluently multiply 2, 5 or 10 within 100.

MAFS.4.OA.2.AP.4a Identify multiples for a whole number (e.g., The multiples of 2 are 2, 4, 6, 8, 10…).

Weekly Assignment 13: Identify multiples for a whole number.

Essential Understanding:Concrete: Students will match numbers.Representation: Students will apply properties of operations as strategies to multiply.

Essential Question: How do I recognize multiplication as communicative or associative?

MAFS.3.OA.2.AP.5a Recognize multiplication as communicative and associative.

MAFS.4.OA.1.AP.ba Find the unknown number in an equation (+, -) relating four whole numbers.

MAFS.5.OA.1.AP.1a Evaluate a simple expression involving one set of parenthesis.

Weekly Assignment 14: Recognize multiplication as communicative and/or associative.

Essential Understanding:Concrete: Students will identify multiplication and division symbols.Representation: Students will model division.

Essential Question: How do I model division?

MAFS.3.OA.2.AP.6a Model division as the inverse of multiplication for quantities less than 10.

MAFS.4.OA.1.AP.2b Determine the number of sets of whole numbers, ten or less, that equal a dividend.

Weekly Assignment 15: Model division as the inverse of multiplication.



Essential Understanding:Concrete: Students will locate numbers.Representation: Students will identify the x- and y- axis on a coordinate plane.

Essential Question: Where do I locate the x- and y- axis?

MAFS.3.MD.2.AP.4b Organize measurement data into a line plot.

MAFS.4.MD.1.AP.2a Solve word problems involving distance using line plots.

MAFS.5.G.1.AP.1a Locate the x- and y-axis on a coordinate plane.

Weekly Assignment 16: Locate the x- and y- axis on a coordinate plane.

Essential Understanding:Concrete: Students will sort shapes.Representation: Students will sort objects based on parallelism, and perpendicularity.Essential Question: How do I sort objects based on parallelism, and perpendicularity?

MAFS.3.G.1.AP.1b Identify different examples of quadrilaterals.

MAFS.4.G.1.AP.2a Identify and sort objects based on parallelism, perpendicularity, and angle type.

Weekly Assignment 17: Sort objects based on parallelism, perpendicularity, and angle type.

Essential Understanding:Concrete: Students will recognize shapes.Representation: Students will identify attributes of quadrilaterals.

Essential Question: How do I identify attributes of quadrilaterals?

MAFS.3.G.1.AP.1a Identify the attributes of quadrilaterals.

MAFS.4.G.1.AP.1b Identify perpendicular and parallel lines in a two-dimensional figure.

MAFS.5.G.2.AP.3a Recognize properties of simple plane figures using polygon-shaped manipulatives.

Weekly Assignment 18: Identify attributes of quadrilaterals.

Essential Understanding:Concrete: Students will identify similar figures.Representation: Students will identify figures that have a line of symmetry.Essential Question: How do I identify a figure with a line of symmetry?

MAFS.4.G.1.AP.3a Identify figures that have a line of symmetry.

Weekly Assignment 19: Identify figures that have a line of symmetry.



Essential Understanding:Concrete: Students will sort shapes.Representation: Students will classify polygon shapes.

Essential Question: How do I classify and organize polygon shapes?

MAFS.4.G.1.AP.1c Identify an angle in a two-dimensional figure.

MAFS.5.G.2.AP.4a Use polygon-shaped manipulatives to classify and organize two-dimensional figures into Venn diagrams based on the attributes of the figures.

Weekly Assignment 20: Classify and organize polygon shapes into a Venn diagram based on the attributes of the figures.

Essential Understanding:Concrete: Students will identify a number line.Representation: Students will solve word problems using a number line.

Essential Question: How do I solve word problems of time using a number line?

MAFS.3.MD.1.AP.1a Solve word problems involving the addition and subtraction of time intervals of whole hours or within an hour (whole hours: 5:00 to 8:00, within hours: 7:15 to 7:45) on a number line.

MAFS.5.MD.1.AP.1a Convert standard measurements of time to solve real-world problems.

Weekly Assignment 21: Solve word problems involving addition and subtraction of time intervals of whole hours on a number line.

Essential Understanding:Concrete: Students will recognize routines.Representation: Students will convert standard measurements of time to solve real-world problems. Essential Question: Why is a schedule important?

MAFS.3.MD.1.AP.1a Solve word problems involving the addition and subtraction of time intervals of whole hours or within an hour (whole hours: 5:00 to 8:00, within hours: 7:15 to 7:45) on a number line.

MAFS.5.MD.1.AP.1a Convert standard measurements of time to solve real-world problems.

Weekly Assignment 22: Convert standard measurements of time to solve real-world problems (i.e., write your daily school or home schedule with times)

Essential Understanding:Concrete: Students will identify perimeter.Representation: Students will solve word problems involving perimeter and area.

Essential Question: How do I solve word problems involving perimeter and area of rectangles?

MAFS.3.MD.4.AP.8b Draw different rectangles with the same area but different perimeters on graph paper.

MAFS.4.MD.1.AP.3a Solve word problems involving perimeter and area of rectangles using specific visualizations/drawings and numbers.

MAFS.5.MD.1.AP.1b Convert standard measurements of length to solve real-world problems.

Weekly Assignment 23: Solve word problems involving perimeter and area of rectangles.



Essential Understanding:Concrete: Students will collect data.Representation: Students will organize collected data into a graph.

Essential Question: How can I collect and organize data?

MAFS.3.MD.2.AP.3a Collect data and organize into a picture or bar graph.

MAFS.5.OA.2.AP.3b Graph ordered pairs on a coordinate plane when given a table that follows patterns rules.

Weekly Assignment 24: Collect data and organize into a picture or bar graph.

Essential Understanding:Concrete: Students will measure using a ruler.Representation: Students will collect and graph fractional data.

Essential Question: How do I measure volume of a 3D shape?

MAFS.3.MD.2.AP.4a Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch.

MAFS.5.MD.2.AP.2a Collect and graph fractional data on a line plot (e.g., length of each person’s pencil in classroom, hours of exercise each week).

Weekly Assignment 25: Collect and graph fractional data on a line plot (length of each person’s pencil in classroom) using a ruler.

Essential Understanding:Concrete: Students will recognize solid figures.Representation: Students will explore the volume on n cubic units.

Essential Question: How do I measure recognize of a solid figure?

MAFS.3.MD.1.AP.2b Select appropriate units for measurement involving liquid volume and mass.

MAFS.5.MD.3.AP.3a Use packing to recognize volume of a solid figure.

Weekly Assignment 26: Use packing to recognize volume of a solid figure to explore the volume of n cubic units.

Essential Understanding:Concrete: Students will measure rectangles.Representation: Students will measure rectangles by counting unit squares.

Essential Question: How can I measure the area of rectangles?

MAFS.3.MD.3.AP.6a Measure area of rectangles by counting unit squares.

MAFS.4.MD.1.AP.1a Within a system of measurement, identify the number of smaller units in the next larger unit

Weekly Assignment 27: Measure area of rectangles by counting unit squares.



Essential Understanding:Concrete: Students will identify rectangular prisms.Representation: Students will measure volume by counting unit cubes.

Essential Question: How can I determine the volume of a rectangular prism?

MAFS.3.MD.1.AP.2a Select the appropriate tool for the measurement of liquid volume and mass.

MAFS.5.MD.3.AP.4a Determine the volume of a rectangular prism built by “unit cubes.”

Weekly Assignment 28: Determine the volume of a rectangular prism built by “unit cubes.”

Essential Understanding:Concrete: Students will add simple equations.Representation: Students will measure the perimeter of a rectangle.

Essential Question: How can I determine the perimeter of a rectangle?

MAFS.3.MD.4.AP.8a Use addition to find the perimeter of a rectangle.

MAFS.4.MD.1.AP.1b Complete a conversion table for length and mass within a single system.

Weekly Assignment 29: Use addition to find the perimeter of a rectangle.

Essential Understanding:Concrete: Students will identify ones, tens and hundredths place value.Representation: Students will use place value to round numbers to the nearest 10 or 100.

Essential Question: How do I use place value to round to the nearest 10 or 100?

MAFS.3.NBT.1.AP.1a Use place value to round to the nearest 10 or 100.

MAFS.5.NBT.2.AP.7a Solve one-step problems using decimals

Weekly Assignment 30: Use place value to round to nearest 10 or 100.



Essential Understanding:Concrete: Students will write number names.Representation: Students will write multi-digit whole numbers using base-ten numerals.

Essential Question: How do I write the expanded form for a multi-digit number?

MAFS.3.NBT.1.AP.2a Use the relationships between addition and subtraction to solve problems

MAFS.4.NBT.1.AP.2b Write or select the expanded form for a multi-digit number.

Weekly Assignment 31: Write or select the expanded form for a multi-digit number.

Essential Understanding:Concrete: Students will skip count by 10s.Representation: Students will multiply numbers by 10s.

Essential Question: Why do we multiply?

MAFS.3.NBT.1.AP.3a Multiply one-digit numbers by 10, 20, and 50.

MAFS.5.NBT.2.AP.5a Fluently multiply two-digit numbers

Weekly Assignment 32: Multiply one-digit numbers by 10, 20, and 50

Essential Understanding:Concrete: Students will identify fractions with like denominators.Representation: Students will solve problems with fractions with like denominators.

Essential Question: How do I add/subtract fractions with like denominators?

MAFS.4.MD.2.AP.4a Solve problems involving addition and subtraction of fractions with like denominators (2, 4, and 8) by using information presented in line plots.

MAFS.5.NF.1.AP.1b Add or subtract fractions with unlike denominators within one whole unit on a number line.

Weekly Assignment 33: Solve problems involving addition and subtraction of fractions with like and/or unlike denominators.

Essential Understanding:Concrete: Students will identify numbers on a number line.Representation: Students will round numbers on a number line.

Essential Question: How do I round numbers?

MAFS.4.NBT.1.AP.3a Use a hundreds chart or number line to round to any place (i.e., ones, tens, hundreds, thousands).

MAFS.5.NBT.1.AP.3a Read, write, or select a decimal to the hundredths place.

Weekly Assignment 34:Use a number line or hundreds chart to round decimals to nearest ones, tens, hundreds.



Essential Understanding:Concrete: Students will identify quantities.Representation: Students will illustrate calculation by using an equation.

Essential Question: How can models help solve problems?

MAFS.3.OA.3.AP.7a Fluently multiply and divide within 20.

MAFS.4.NBT.2.AP.5a Solve a two-digit by one-digit whole number multiplication problem using two different strategies.

Weekly Assignment 35: Solve a two-digit by one-digit whole number multiplication problem using two different strategies.

Essential Understanding:Concrete: Students will identify quantities.Representation: Students will model basic computations.

Essential Question: How can rectangle arrays help me solve problems?

MAFS.3.OA.1.AP.1a Find the total number inside an array with neither number in the columns or rows greater than five

MAFS.5.NBT.2.AP.6a Find whole number quotients up to two dividends and two divisors.

Weekly Assignment 36: Find whole number quotients up to two dividends and two divisors.


Appendix

GeometryMAFS.3.G.1.AP.1a Identify the attributes of quadrilaterals.

MAFS.4.G.1.AP.1a Identify a point, line and line segment and rays in two-dimensional figures.MAFS.4.G.1.AP.1b Identify perpendicular and parallel lines in a two-dimensional figure.MAFS.4.G.1.AP.1c Identify an angle in a two-dimensional figure.MAFS.4.G.1.AP.2a Identify and sort objects based on parallelism, perpendicularity, and angle type.MAFS.4.G.1.AP.3a Identify figures that have a line of symmetry.

MAFS.5.G.1.AP.1a Locate the x- and y-axis on a coordinate plane.MAFS.5.G.1.AP.1b Locate points on a coordinate plane.MAFS.5.G.1.AP.1c Graph ordered pairs (coordinates).MAFS.5.G.1.AP.2a Find a location on a map using given coordinates.MAFS.5.G.2.AP.3a Recognize properties of simple plane figures using polygon-shaped manipulatives.MAFS.5.G.2.AP.4a Use polygon-shaped manipulatives to classify and organize two-dimensional figures into Venn diagrams based on the attributes of the figures.

Measurement and Data

MAFS.3.MD.1.AP.1a Solve word problems involving the addition and subtraction of time intervals of whole hours or within an hour (whole hours: 5:00 to 8:00, within hours: 7:15 to 7:45) on a number line.MAFS.3.MD.1.AP.1b Determine the equivalence between the number of minutes and the number of hours (e.g., 60 minutes = 1 hour) on a number line.MAFS.3.MD.1.AP.2a Select the appropriate tool for the measurement of liquid volume and mass.MAFS.3.MD.1.AP.2b Select appropriate units for measurement involving liquid volume and mass.MAFS.3.MD.1.AP.2c Add to solve one-step word problems involving liquid volume and mass.MAFS.3.MD.1.AP.2d Estimate liquid volume and mass.MAFS.3.MD.2.AP.3a Collect data and organize into a picture or bar graph.MAFS.3.MD.2.AP.3b Select the appropriate statement that compares the data representations based on a given graph (picture, bar, line plots).MAFS.3.MD.2.AP.4a Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch.MAFS.3.MD.2.AP.4b Organize measurement data into a line plot.MAFS.3.MD.3.AP.5a Use tiling to determine area.MAFS.3.MD.3.AP.6a Measure area of rectangles by counting unit squares.MAFS.3.MD.3.AP.7a Use tiling and addition to determine area.MAFS.3.MD.4.AP.8a Use addition to find the perimeter of a rectangle.MAFS.3.MD.4.AP.8b Draw different rectangles with the same area but different perimeters on graph paper.


MAFS.4.MD.1.AP.1a Within a system of measurement, identify the number of smaller units in the next larger unit.MAFS.4.MD.1.AP.1b Complete a conversion table for length and mass within a single system.MAFS.4.MD.1.AP.2a Solve word problems involving distance using line plots.MAFS.4.MD.1.AP.3a Solve word problems involving perimeter and area of rectangles using specific visualizations/drawings and numbers.MAFS.4.MD.2.AP.4a Solve problems involving addition and subtraction of fractions with like denominators (2, 4, and 8) by using information presented in line plots.MAFS.4.MD.3.AP.5a Identify an angle in a two-dimensional figure.MAFS.4.MD.3.AP.6a Sketch angles of specific measures.MAFS.4.MD.3.AP.6b Identify types of angles.MAFS.4.MD.3.AP.7a Find sums of angles that show a ray (adjacent angles).

MAFS.5.MD.1.AP.1a Convert standard measurements of time to solve real-world problems.MAFS.5.MD.1.AP.1b Convert standard measurements of length to solve real-world problems.MAFS.5.MD.1.AP.1c Convert standard measurements of mass to solve real-world problems.MAFS.5.MD.2.AP.2a Collect and graph fractional data on a line plot (e.g., length of each person’s pencil in classroom, hours of exercise each week).MAFS.5.MD.3.AP.3a Use packing to recognize volume of a solid figure.MAFS.5.MD.3.AP.4a Determine the volume of a rectangular prism built by “unit cubes.”MAFS.5.MD.3.AP.5a Use multiplication to represent each layer of the rectangular prism.MAFS.5.MD.3.AP.5b Use addition to determine the length, width, and height.MAFS.5.MD.3.AP.5c Connect the layers to the dimensions and multiply to find the volume of the rectangular prism.

Number and Operations in Base Ten

MAFS.3.NBT.1.AP.1a Use place value to round to the nearest 10 or 100.MAFS.3.NBT.1.AP.2a Use the relationships between addition and subtraction to solve problems.MAFS.3.NBT.1.AP.2b Solve multi-step addition and subtraction problems up to 100.MAFS.3.NBT.1.AP.3a Multiply one-digit numbers by 10, 20, and 50.

MAFS.4.NBT.1.AP.2a Compare multi-digit numbers.MAFS.4.NBT.1.AP.2b Write or select the expanded form for a multi-digit number.MAFS.4.NBT.1.AP.2c Understand the roles of commas to read and write numerals between 1,000 and 1,000,000.

MAFS.4.NBT.1.AP.3a Use a hundreds chart or number line to round to any place (i.e., ones, tens, hundreds, thousands).MAFS.4.NBT.2.AP.5a Solve a two-digit by one-digit whole number multiplication problem using two different strategies.


MAFS.5.NBT.1.AP.2a Identify what an exponent represents (e.g., 10³= 10X10X10).MAFS.5.NBT.1.AP.2b Identify the direction the decimal point will move when multiplying or dividing by a multiple of 10.MAFS.5.NBT.1.AP.3a Read, write, or select a decimal to the hundredths place.MAFS.5.NBT.1.AP.3b Compare two decimals to the hundredths place, whose values are less than 1.MAFS.5.NBT.1.AP.4a Round decimals to the next whole number.MAFS.5.NBT.1.AP.4b Round decimals to the tenths place.MAFS.5.NBT.1.AP.4c Round decimals to the hundredths place.MAFS.5.NBT.2.AP.5a Fluently multiply two-digit numbers.MAFS.5.NBT.2.AP.6a Find whole number quotients up to two dividends and two divisors.MAFS.5.NBT.2.AP.6b Find whole number quotients of whole numbers with up to two-digit dividends and two-digit divisors.MAFS.5.NBT.2.AP.7a Solve one-step problems using decimals.

Numbers and Operations- FractionsMAFS.3.NF.1.AP.1a Identify the number of highlighted parts (numerator) of a given representation (rectangles and circles).MAFS.3.NF.1.AP.1b Identify the total number of parts (denominator) of a given representation (rectangles and circles).MAFS.3.NF.1.AP.1c Identify the fraction that the representation of partitioned rectangles and circles into halves, fourths, thirds, and eighths.MAFS.3.NF.1.AP.2a Locate given common unit fractions (i.e., 1/2, 1/4) on a number line or ruler.MAFS.3.NF.1.AP.3a Identify equivalent fractions on a number line divided into fourths and halves within 3 units.

MAFS.4.NF.1.AP.1a Determine equivalent fractions using visual fraction models and a number line.MAFS.4.NF.1.AP.2a Use =, <, or > to compare two fractions (fractions with a denominator or 10 or less).MAFS.4.NF.1.AP.2b Compare 2 given fractions that have different denominators.MAFS.4.NF.2.AP.3a Using a representation, decompose a fraction into multiple copies of a unit fraction (e.g., 3/4 = 1/4 + 1/4+ 1/4).MAFS.4.NF.2.AP.3b Add and subtract fractions with like denominators (2, 3, 4 or 8) using representations.MAFS.4.NF.2.AP.3c Solve word problems involving addition and subtraction of fractions with like denominators (2, 3, 4 or 8).MAFS.4.NF.2.AP.4a Multiply a fraction by a whole number using a visual fraction model.MAFS.4.NF.3.AP.5a Find the equivalent fraction with denominators that are multiples of 10.MAFS.4.NF.3.AP.6a Identify the equivalent decimal form for a benchmark fraction.MAFS.4.NF.3.AP.6b Match a fraction (with a denominator of 10 or 100) with its decimal equivalent (5/10 = 0.5).MAFS.4.NF.3.AP.6c Read, write, or select decimals to the tenths place.MAFS.4.NF.3.AP.6d Read, write, or select decimals to the hundredths place.MAFS.4.NF.3.AP.6c Read, write, or select decimals to the tenths place.MAFS.4.NF.3.AP.6d Read, write, or select decimals to the hundredths place.MAFS.4.NF.3.AP.7a Use =, <, or > to compare two decimals (decimals in multiples of .10).MAFS.4.NF.3.AP.7b Compare two decimals expressed to the tenths place with a value of less than 1 using a visual model.MAFS.4.NF.3.AP.7c Compare two decimals expressed to the hundredths place with a value of less than 1 using a visual model.


MAFS.5.NF.1.AP.1a Add and subtract fractions with like denominators with sums greater than 1 represented by mixed numbers using visual fraction models.MAFS.5.NF.1.AP.1b Add or subtract fractions with unlike denominators within one whole unit on a number line.MAFS.5.NF.1.AP.2a Solve word problems involving the addition and subtraction of fractions using visual fraction models.MAFS.5.NF.2.AP.3a Divide unit fractions by whole numbers and whole numbers by unit fractions using visual fraction models.MAFS.5.NF.2.AP.4a Multiply a fraction by a whole or mixed number using visual fraction models.MAFS.5.NF.2.AP.5a Determine whether the product will increase or decrease based on the multiple using visual fraction models.MAFS.5.NF.2.AP.6a Multiply a fraction by a whole or mixed number using visual fraction models.MAFS.5.NF.2.AP.7a Divide unit fractions by whole numbers and whole numbers by unit fractions using visual fraction models.

Operations and Algebraic ThinkingMAFS.3.OA.1.AP.1a Find the total number inside an array with neither number in the columns or rows greater than five.MAFS.3.OA.1.AP.1b Solve multiplication problems with neither number greater than five.MAFS.3.OA.1.AP.1c Use objects to model multiplication involving up to five groups with up to five objects in each.MAFS.3.OA.1.AP.2a Determine the number of sets of whole numbers, five or less, that equal a dividend.MAFS.3.OA.1.AP.2b Use objects to model division situations involving up to five groups, with up to five objects in each group, and interpret the results.MAFS.3.OA.1.AP.3a Solve and check one- or two-step word problems requiring multiplication or division with the product or quotient up to 50.MAFS.3.OA.1.AP.4a Find the unknown number in a multiplication equation.MAFS.3.OA.2.AP.5a Recognize multiplication as communicative and associative.MAFS.3.OA.2.AP.6a Model division as the inverse of multiplication for quantities less than 10.MAFS.3.OA.3.AP.7b Fluently multiply 2, 5 or 10 within 100.MAFS.3.OA.3.AP.7c Fluently divide by 2, 5, or 10 using dividends within 100 that are multiples of 2, 5, or 10.MAFS.3.OA.4.AP.8a Solve and check one-step word problems using the four operations within 100.MAFS.3.OA.4.AP.9a Identify and describe the rule for a numerical pattern where numbers increase by 2, 5 or 10.MAFS.3.OA.4.AP.9b Select or name the three next terms in a numeral pattern where numbers increase by 2, 5, or 10.MAFS.3.OA.4.AP.9c Identify multiplication patterns in a real-world setting.

MAFS.4.OA.1.AP.1a Use objects to model multiplication involving up to five groups with up to five objects in each and write equations to represent the models.MAFS.4.OA.1.AP.aa Determine whether an equation with quantities less than 100 is true or false.MAFS.4.OA.1.AP.ba Find the unknown number in an equation (+, -) relating four whole numbers.MAFS.4.OA.1.AP.2a Solve multiplicative comparisons with an unknown using up to two-digit numbers with information presented in a graph or word problem (e.g., an orange hat costs $3. A purple hat costs two times as much. How much does the purple hat cost? [3 x 2 = p]).MAFS.4.OA.1.AP.2b Determine the number of sets of whole numbers, ten or less, that equal a dividend.MAFS.4.OA.1.AP.3a Solve and check one- or two-step word problems requiring the four operations within 100.MAFS.4.OA.2.AP.4a Identify multiples for a whole number (e.g., The multiples of 2 are 2, 4, 6, 8, 10…).MAFS.4.OA.2.AP.4b Identify factors of whole numbers within 30.MAFS.4.OA.3.AP.5a Generate a pattern when given a rule.


MAFS.4.OA.3.AP.5b Extend a numerical pattern when the rule is provided.

MAFS.5.OA.1.AP.1a Evaluate a simple expression involving one set of parenthesis.MAFS.5.OA.1.AP.2a Write a simple expression for a calculation.MAFS.5.OA.2.AP.3a Given two pattern descriptions involving the same context (e.g., collecting marbles), determine the first five terms and compare the values.MAFS.5.OA.2.AP.3b Graph ordered pairs on a coordinate plane when given a table that follows patterns rules.

Mathematical Practices


MAFS.K12.MP.1.1 - Make sense of problems and persevere in solving them. Make a plan! Try different approaches when your problem is hard. Solve your problem in more than one way. Check whether your solution makes sense.

MAFS.K12.MP.2.1 - Reason abstractly and quantitatively. Explain the meanings of the numbers, words, pictures, symbols, and objects you and others use.

MAFS.K12.MP.3.1 - Construct viable arguments and critique the reasoning of others. Explain both what to do and why it works. Work to make sense of others’ mathematical thinking.

MAFS.K.12.MP.4.1 - Model with mathematics. Apply math to real-world situations. Use models such as graphs, drawings, tables, symbols, numbers, and diagrams to solve problems.

MAFS.K12.MP.5.1 - Use appropriate tools strategically. Choose appropriate tools for your problem. Use mathematical tools correctly and efficiently. Estimate and use what you know to check the answers you find using tools.

MAFS.K12.MP.6.1 - Attend to precision. Communicate your mathematical thinking clearly and precisely. Use the level of precision you need for your problem. Be accurate when you count, measure, and calculate.

MAFS.K12.MP.7.1 - Look for and make use of structure. Find, extend, analyze, and create patterns. Use patterns and structures to solve problems. MAFS.K12.MP.8.1- Look for and express regularity in repeated reasoning. Use patterns and structures to create and explain rules and shortcuts. Use properties, rules, and shortcuts to solve problems. Reflect on your thinking before, during, and after you solve a problem.

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Web viewThey will solve real ... Students will solve word problems, and check their ... Determine the number of sets of whole numbers, ten or less, that equal a