# Fill in the gaps with grade level roadmaps

Target the precise skills and concepts each student needs.

We’ve developed a system of organizing the 300 skills a student must learn cumulatively in order to be Algebra-ready. The skills and concepts covered in *Teach to One Roadmaps *allow students to gain unlearned, prerequisite skills while still advancing at grade level.

Browse the skills and concepts covered in each grade level below.

## Roadmaps Skill Cluster

## Grade

## Description

## Multiplying and Dividing Large Numbers

5

I will fluently multiply multi-digit whole numbers using the standard algorithm.

## Multiplying and Dividing Large Numbers

5

I will divide large whole numbers by whole numbers with two or more digits and explain remainders within context.

## Understanding Volume

5

I will understand volume and measure it using unit cubes.

## Understanding Volume

5

I will develop and use a formula for finding the volume of rectangular prisms.

## Understanding Volume

5

I will solve real world and mathematical problems involving additive volume and right rectangular prisms.

## Numerical Expressions

5

I will use the order of operations, including parentheses, to evaluate numerical expressions involving whole numbers.

## Numerical Expressions

5

I will write expressions to record operations with numbers, and interpret numerical expressions without evaluating them.

## Adding & Subtracting Unlike Fractions

5

I will add and subtract fractions with unlike denominators.

## Adding & Subtracting Unlike Fractions

5

I will add and subtract mixed numbers with unlike denominators.

## Adding & Subtracting Unlike Fractions

5

I will solve problems by adding and subtracting fractions and mixed numbers with unlike denominators.

## Data Displays

2

I will read and interpret different types of graphs.

## Data Displays

5

I will make line plots to display a data set measured in fractions and use operations with fractions to solve problems involving the data set.

## Dividing Fractions

5

I will interpret fractions as division of the numerator by the denominator and solve whole number division problems leading to answers in the form of fractions or mixed numbers.

## Dividing Fractions

5

I will divide whole numbers by unit fractions in real world and mathematical problems.

## Dividing Fractions

5

I will divide unit fractions by whole numbers in real world and mathematical problems.

## Dividing Fractions

5

I will solve word problems involving division between unit fractions and whole numbers.

## Fraction Equivalence

5

I will simplify fractions to lowest terms.

## Multiplying Fractions

5

I will multiply whole numbers by fractions.

## Multiplying Fractions

5

I will find the area of a rectangle with fractional side lengths.

## Multiplying Fractions

5

I will develop and use an algorithm for multiplying fractions.

## Multiplying Fractions

5

I will multiply mixed numbers.

## Multiplying Fractions

5

I will interpret multiplication as scaling.

## Coordinate Plane

5

I will use a pair of perpendicular lines, called axes, to define a coordinate system and locate points using coordinates.

## Coordinate Plane

5

I will solve real-world problems by plotting and interpreting points in the first quadrant of the coordinate plane.

## Coordinate Plane

5

I will generate two numerical patterns using two given rules, graph ordered pairs of corresponding terms on a coordinate plane, and identify apparent relationships between corresponding terms.

## Decimal Operations

5

I will add and subtract decimals using a variety of strategies.

## Decimal Operations

5

I will multiply a decimal by a whole number using a variety of strategies.

## Decimal Operations

5

I will multiply a decimal by a decimal using a variety of strategies.

## Decimal Operations

5

I will divide a decimal by a whole number using a variety of strategies.

## Decimal Operations

5

I will divide a decimal by a decimal using multiple strategies.

## Decimal Place Value

4

I will compare decimals using models.

## Decimal Place Value

5

I will understand the value of a single digit in a multi-digit number and explain the relationship between the digits.

## Decimal Place Value

5

I will read and write decimal numbers using base ten numerals, number names, and expanded form.

## Decimal Place Value

5

I will compare and order decimals using the math symbols <, >, and =.

## Decimal Place Value

5

I will use rounding rules to round numbers to the ones place and decimal place values.

## Classifying Shapes

5

I will classify and draw triangles by their angles and sides.

## Classifying Shapes

5

I will classify and draw quadrilaterals by their angles and sides.

## Powers of 10

5

I will explain patterns in the number of zeros in the products when multiplying whole numbers by 10; 100; and 1,000.

## Powers of 10

5

I will explain patterns about multiplying or dividing decimal numbers by powers of ten.

## Unit Conversions

5

I will identify and convert among customary units of length, capacity, and mass/weight.

## Unit Conversions

5

I will identify and convert among metric units of length, capacity, and mass/weight.

## Unit Conversions

5

I will solve real world and mathematical problems involving operations with decimal numbers that require unit conversions.

## Addition & Subtraction

2

I will find sums and differences within 100 and represent them on the number line.

## Addition & Subtraction

3

I will add numbers within 1000 using a variety of strategies.

## Addition & Subtraction

3

I will subtract numbers within 1000 using a variety of strategies.

## Addition & Subtraction

4

I will add large whole numbers.

## Addition & Subtraction

4

I will subtract large whole numbers.

## Basic Multiplication

3

I will multiply one-digit whole numbers by multiples of 10.

## Basic Multiplication

3

I will calculate and list multiples of whole numbers.

## Basic Multiplication

4

I will identify and use the distributive property of multiplication over addition, relating it to area models.

## Basic Multiplication

4

I will identify and use the distributive property of multiplication over addition, relating it to area models.

## Basic Multiplication

4

I will make sense of multiplicative comparisons.

## Multiplication and Division Fundamentals

3

I will understand multiplication and know multiplication facts up to 10 times 10.

## Multiplication and Division Fundamentals

3

I will interpret division as equal shares and know division facts with one-digit numbers.

## Multiplication and Division Fundamentals

3

I will determine an unknown whole number in a multiplication or division equation.

## Multiplication and Division Fundamentals

4

I will multiply 2-digit by 2-digit numbers using area models to represent partial products.

## Multiplication and Division Fundamentals

4

I will multiply large whole numbers by one-digit whole numbers using area models to represent partial products.

## Multiplication and Division Fundamentals

4

I will divide large whole numbers by one-digit whole numbers and explain remainders within context.

## Understanding Area

3

I will calculate the perimeter of regular or irregular polygons and solve problems involving perimeter.

## Understanding Area

3

I will understand the concept of area and find area of figures by counting square units.

## Understanding Area

3

I will develop and use a formula for finding the area of rectangles.

## Understanding Area

4

I will recognize area as additive and find the area of polygons composed of rectangles.

## Whole Numbers

2

I will read and write numbers to 1,000 using base-ten numerals, number names, and expanded form.

## Whole Numbers

4

I will read and write whole numbers up to millions using base-ten numerals, number names, and expanded form.

## Whole Numbers

4

I will round whole numbers to the nearest ten, hundred, or thousand.

## Whole Numbers

4

I will compare whole numbers up to millions.

## Basic Algebraic Thinking

3

I will solve two-step word problems using all four operations.

## Basic Algebraic Thinking

4

I will solve word problems involving operations with whole numbers.

## Basic Algebraic Thinking

4

I will generate a number or shape pattern that follows a given rule and identify features of the pattern.

## Basic Algebraic Thinking

4

I will define, identify, and use the commutative and associative properties of addition and multiplication.

## Basic Algebraic Thinking

4

I will identify all the factors of a given whole number and identify prime and composite numbers.

## Comparing Fractions

3

I will compare fractions with the same numerator or denominator.

## Comparing Fractions

4

I will compare and order fractions using the math symbols <, >, and =.

## Decomposing Fractions

4

I will add and subtract fractions with like denominators.

## Decomposing Fractions

4

I will understand a fraction as a multiple of a unit fraction.

## Decomposing Fractions

4

I will recognize and generate equivalent products of fractions and whole numbers.

## Decomposing Fractions

4

I will decompose a fraction or mixed number into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation.

## Decomposing Fractions

4

I will add and subtract mixed numbers with like denominators.

## Fraction Equivalence

3

I will recognize and generate equivalent fractions using visual models.

## Fraction Equivalence

3

I will recognize and generate fractions and whole numbers that are equivalent.

## Fraction Equivalence

4

I will use fraction equivalence to add fractions with denominators of 10 and 100.

## Fraction Equivalence

4

I will understand decimals are part of a whole and express decimals as fractions to tenths or hundredths.

## Fraction Equivalence

4

I will create equivalent fractions and explain fraction equivalence.

## Representing Fractions

2

I will partition shapes and describe the shares using halves, thirds, and fourths.

## Representing Fractions

3

I will describe fractions using numbers, words, and pictures.

## Representing Fractions

3

I will represent fractions on a number line.

## Representing Fractions

4

I will add and subtract fractions with like denominators using models.

## Geometry Fundamentals

4

I will identify and classify lines, line segments, rays, and angles.

## Geometry Fundamentals

4

I will identify and draw intersecting, perpendicular, and parallel lines.

## Geometry Fundamentals

4

I will draw and measure angles and classify angles as acute, obtuse, right, and straight.