Access Point Results Grade 6 Subject NGSSS: Mathematics

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Access Point #

Description

Idea

Body of Knowledge

MA.6.A.1.In.a

Express and represent fractions, including halves, fourths, thirds, and eighths, using number names and numerals.

BIG IDEA 1

Algebra

MA.6.A.1.In.b

Identify multiplication as repeated addition of equal groups and multiply one-digit numbers using physical and visual models with numerals.

BIG IDEA 1

Algebra

MA.6.A.1.In.c

Identify division as repeated subtraction of equal groups and divide one-digit numbers using physical and visual models with numerals.

BIG IDEA 1

Algebra

MA.6.A.1.In.d

Solve real-world problems involving fractions, including halves, fourths, thirds, and eighths.

BIG IDEA 1

Algebra

MA.6.A.1.Pa.a

Recognize part (half) of sets of objects to 4.

BIG IDEA 1

Algebra

MA.6.A.1.Pa.b

Solve simple problems involving joining and separating parts of a set or parts of a whole.

BIG IDEA 1

Algebra

MA.6.A.1.Su.a

Express, represent, and use fractions, including halves, fourths, and thirds, as parts of a whole and as parts of a set, using number names.

BIG IDEA 1

Algebra

MA.6.A.1.Su.b

Combine (multiply) equal sets with quantities to 30 using objects and pictures with numerals.

BIG IDEA 1

Algebra

MA.6.A.1.Su.c

Use counting and grouping to separate (divide) quantities to 30 into sets with the same number using objects or pictures.

BIG IDEA 1

Algebra

MA.6.A.1.Su.d

Solve real-world problems involving fractions, including halves, fourths, and thirds using real objects or physical models.

BIG IDEA 1

Algebra

MA.6.A.2.In.a

Identify the meaning of common uses of ratio, such as equivalent fractions and mixtures.

BIG IDEA 2

Algebra

MA.6.A.2.In.b

Identify two meanings of rate: a measure of speed, including miles per hour and words per minute; and a measure of cost, including price per gallon and cost per pound.

BIG IDEA 2

Algebra

MA.6.A.2.Pa.a

Recognize differences in quantity in two sets of objects to 6.

BIG IDEA 2

Algebra

MA.6.A.2.Pa.b

Recognize changes in rates of movement (fast and slow).

BIG IDEA 2

Algebra

MA.6.A.2.Su.a

Recognize the meaning of a simple ratio, such as 2 to 1.

BIG IDEA 2

Algebra

MA.6.A.2.Su.b

Identify one meaning of rate, including how fast something moves or happens.

BIG IDEA 2

Algebra

MA.6.A.3.In.a

Write and solve number sentences (equations) that correspond to real-world problem situations involving addition and subtraction with two-digit numbers.

BIG IDEA 3

Algebra

MA.6.A.3.In.b

Use models and diagrams to solve problems with inequalities, including the > and < signs.

BIG IDEA 3

Algebra

MA.6.A.3.In.c

Identify function rules with addition and subtraction of one-digit numbers represented in number pairs, such as +5, -4 or +3.

BIG IDEA 3

Algebra

MA.6.A.3.In.d

Use the Commutative and Associative Properties of addition to show that two number sentences (equations) are equal.

BIG IDEA 3

Algebra

MA.6.A.3.In.e

Solve addition and subtraction number sentences (equations) using information from physical models, diagrams, and tables.

BIG IDEA 3

Algebra

MA.6.A.3.Pa.a

Solve simple problems involving small quantities using language, such as more, less, same, and none.

BIG IDEA 3

Algebra

MA.6.A.3.Pa.b

Identify quantity in sets of objects to 6 and add 1 more.

BIG IDEA 3

Algebra

MA.6.A.3.Pa.c

Determine if the quantity in two sets of objects to 6 is the same or different.

BIG IDEA 3

Algebra

MA.6.A.3.Pa.d

Determine if the quantity in two sets of objects to 6 is the same or different.

BIG IDEA 3

Algebra

MA.6.A.3.Su.a

Write and solve number sentences (equations) that correspond to real-world problem situations involving addition and subtraction with one-digit numbers.

BIG IDEA 3

Algebra

MA.6.A.3.Su.b

Use physical models and diagrams to solve problems with inequalities, including the terms more than and less than.

BIG IDEA 3

Algebra

MA.6.A.3.Su.c

Identify function rules of 1 more and 1 less represented in number pairs, such as 5 is 1 more than 4 and 3 is 1 less than 4.

BIG IDEA 3

Algebra

MA.6.A.3.Su.d

Use information from physical models, diagrams, tables, and pictographs to solve number sentences (equations) involving addition and subtraction with one-digit numbers.

BIG IDEA 3

Algebra

MA.6.A.3.Su.e

Use the Commutative Property of addition to show that two number sentences represented by physical and visual models are equal.

BIG IDEA 3

Algebra

MA.6.A.5.In.a

Express, represent, and use whole numbers to 200 in various contexts.

Number and Operations

Algebra

MA.6.A.5.In.b

Identify the value of money to $2.00 expressed as a decimal.

Number and Operations

Algebra

MA.6.A.5.In.c

Compare fractional parts of the same size objects or sets, including halves, fourths, thirds, and eighths.

Number and Operations

Algebra

MA.6.A.5.In.d

Solve two-step real-world problems involving addition and subtraction of two-digit numbers and check for accuracy using the reverse operation.

Number and Operations

Algebra

MA.6.A.5.In.e

Use a grouping strategy or place value to round to the nearest ten to determine a reasonable estimate in problem situations involving whole numbers to 100, and check for accuracy.

Number and Operations

Algebra

MA.6.A.5.Pa.a

Match two or more objects to identical objects to 6 using one-to-one correspondence.

Number and Operations

Algebra

MA.6.A.5.Pa.b

Compare the size of parts of objects to the whole to determine which is the largest or smallest.

Number and Operations

Algebra

MA.6.A.5.Pa.c

Solve simple problems involving joining or separating sets of objects to 6.

Number and Operations

Algebra

MA.6.A.5.Su.a

Express, represent, and use whole numbers to 50 using objects, pictures, number names, and numerals, in various contexts.

Number and Operations

Algebra

MA.6.A.5.Su.b

Identify the value of coins to $.50 expressed as a decimal.

Number and Operations

Algebra

MA.6.A.5.Su.c

Compare and order whole numbers to 50 using objects, pictures, number names, and numerals.

Number and Operations

Algebra

MA.6.A.5.Su.d

Solve real-world problems involving addition and subtraction with sums to 50 using strategies such as representing and grouping objects or tallies.

Number and Operations

Algebra

MA.6.A.5.Su.e

Apply the concepts of counting and grouping to identify the value of whole numbers to 50.

Number and Operations

Algebra

MA.6.G.4.In.a

Compare the distance around the outside of circles (circumference) and areas using physical or visual models.

Geometry and Measurement

Geometry

MA.6.G.4.In.b

Measure the distance around all sides (perimeter) of polygons, such as squares, triangles, rectangles, and hexagons and compare the areas using physical or visual models.

Geometry and Measurement

Geometry

MA.6.G.4.In.c

Measure capacity using cups, pints, quarts, and gallons.

Geometry and Measurement

Geometry

MA.6.G.4.Pa.a

Recognize the outside (circumference) and inside (area) of a circle.

Geometry and Measurement

Geometry

MA.6.G.4.Pa.b

Recognize the outside (perimeter) and inside (area) of rectangles and triangles.

Geometry and Measurement

Geometry

MA.6.G.4.Su.a

Identify the distance around the outside of circles (circumference) and compare areas of circles using physical models.

Geometry and Measurement

Geometry

MA.6.G.4.Su.b

Measure the lengths of sides of rectangles and triangles and compare the areas of rectangular and square shapes using physical models.

Geometry and Measurement

Geometry

MA.6.G.4.Su.c

Measure capacity using cups.

Geometry and Measurement

Geometry

MA.6.S.6.In.a

Identify the categories with the largest and smallest numbers represented on a bar graph.

Data Analysis

Statistics

MA.6.S.6.Pa.a

Identify the largest set of objects, pictures, or symbols to 6 representing data in an object graph or pictograph.

Data Analysis

Statistics

MA.6.S.6.Pa.b

Identify the largest set of objects, pictures, or symbols to 6 representing data in an object graph or pictograph.

Data Analysis

Statistics

MA.6.S.6.Su.a

Identify the category with the largest number in a pictograph representing real-world situations.

Data Analysis

Statistics