# 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

## Dividing Fractions

6

I will divide with fractions using visual models.

## Dividing Fractions

6

I will divide with fractions using an algorithm.

## Positive & Negative Numbers on Number Line

6

I will use integers and other rational numbers to represent numerical situations and place them on a number line.

## Positive & Negative Numbers on Number Line

6

I will write, interpret, and explain statements of order for rational numbers on the number line and in real world contexts.

## Positive & Negative Numbers on Number Line

6

I will find and interpret the absolute value of positive and negative rational numbers in mathematical and real world situations.

## Positive & Negative Numbers on Number Line

6

I will identify and plot points in all four quadrants of a coordinate plane.

## Standard Algorithm Operations

6

I will fluently add and subtract multi-digit decimals using the standard algorithm.

## Standard Algorithm Operations

6

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

## Standard Algorithm Operations

6

I will fluently divide multi-digit decimals using the standard algorithm.

## Algebraic Expressions

6

I will use variables to represent numbers and write expressions to represent a real world or mathematical problem.

## Algebraic Expressions

6

I will substitute values into algebraic expressions and evaluate the expressions.

## Algebraic Expressions

6

I will use substitution to evaluate algebraic expressions or formulas using the order of operations, including parentheses and exponents.

## Algebraic Expressions

6

I will evaluate numerical expressions using the order of operations, including parentheses and exponents.

## Algebraic Expressions

6

I will apply the properties of operations to generate equivalent expressions and check the equivalency using substitution.

## Numerical Expressions

5

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

## Numerical Expressions

6

I will find common factors and the greatest common factor (GCF) of two or more whole numbers and rewrite expressions using common factors and the distributive property.

## Numerical Expressions

6

I will find common multiples and the least common multiple (LCM) of two or more whole numbers.

## Numerical Expressions

6

I will translate between repeated multiplication and exponential form and find the value of a whole number raised to a power.

## Simple Equations and Inequalities

6

I will understand solving an equation as finding the values for the variable that make the equation true.

## Simple Equations and Inequalities

6

I will write a simple inequality to represent a condition or constraint in a real world or mathematical problem and represent solutions to inequalities on number line diagrams.

## Simple Equations and Inequalities

6

I will solve one-step algebraic equations.

## Simple Equations and Inequalities

6

I will solve problems by writing, solving, and interpreting one-step equations.

## Ratio Thinking

6

I will know how ratios work and express ratios in different forms using ratio language.

## Ratio Thinking

6

I will make tables of equivalent ratios, find missing values in the tables, plot the pairs of values on a coordinate plane, and use tables to compare ratios.

## Ratio Thinking

6

I will use ratio reasoning to convert measurement units and manipulate and transform units appropriately when multiplying or dividing quantities in real world and mathematical problems.

## Ratio Thinking

6

I will understand the concept of rate and calculate and compare unit rates.

## Ratio Thinking

6

I will represent linear relationships in tables, equations, and graphs in the first quadrant of the coordinate plane.

## Ratio Thinking

6

I will solve real world and mathematical problems involving constant rates.

## Percents

6

I will represent percents as decimals to hundredths, fractions out of 100, and on a 100 grid.

## Percents

6

I will determine percents from ratios.

## Percents

6

I will solve real world and mathematical problems involving percents, including finding the whole, given a part and percent.

## Data Analysis

6

I will choose appropriate measures of center to describe data sets in real world and mathematical situations.

## Data Analysis

6

I will describe data sets and their overall shape.

## Data Analysis

6

I will calculate the mean absolute deviation of a data set and use it to describe the data set.

## Representing Data

2

I will read and interpret different types of graphs.

## Representing Data

6

I will make and use dot or line plots to represent and analyze data.

## Representing Data

6

I will calculate the mean of a data set and use it to describe the data set.

## Representing Data

6

I will determine the median and mode of a data set and use these measures of center to describe the data set.

## Representing Data

6

I will make and use box plots to represent and analyze data.

## Representing Data

6

I will record data in frequency tables and make and use histograms to represent and analyze data.

## Area of Polygons

6

I will develop and use an area formula in order to determine the area of any triangle.

## Area of Polygons

6

I will develop and use an area formula in order to determine the area of any parallelogram.

## Area of Polygons

6

I will use decomposition to find the area of trapezoids and other polygons.

## Area of Polygons

6

I will solve problems involving polygons on the coordinate plane.

## Volume and Surface Area

6

I will identify two-dimensional shapes that make up the faces and bases of three-dimensional objects and use nets to represent the objects.

## Volume and Surface Area

6

I will represent figures using nets made up of rectangles and triangles and use the nets to find the surface area of these figures.

## Volume and Surface Area

6

I will find the volume of a right rectangular prism with fractional edge lengths and solve real world and mathematical problems using volume.

## 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 divide 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 decimal using multiple strategies.

## Dividing Fractions & Whole Numbers

5

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

## Dividing Fractions & Whole Numbers

5

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

## Dividing Fractions & Whole Numbers

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 & Whole Numbers

5

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

## Dividing Fractions & Whole Numbers

5

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

## Dividing Fractions & Whole Numbers

5

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

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

## 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.

## Understanding Decimals

4

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

## Understanding Decimals

4

I will compare decimals using models.

## Understanding Decimals

5

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

## Understanding Decimals

5

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

## Understanding Decimals

5

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

## Understanding Decimals

5

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

## Understanding the Coordinate Plane

4

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

## Understanding the Coordinate Plane

4

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

## Understanding the 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.

## Understanding the Coordinate Plane

5

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

## Understanding the Coordinate Plane

5

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

## Powers of 10

5

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

## Powers of 10

5

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

## 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.

## Classifying Polygons

4

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

## Classifying Polygons

5

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

## Classifying Polygons

5

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

## Volume of Rectangular Prisms

5

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

## Volume of Rectangular Prisms

5

I will understand volume and measure it using unit cubes.

## Adding & Subtracting

2

I will determine an unknown whole number in an addition or subtraction equation.

## Adding & Subtracting

3

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

## Adding & Subtracting

3

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

## Adding & Subtracting

4

I will add large whole numbers.

## Adding & Subtracting

4

I will subtract large whole numbers.

## Comparing Fractions

3

I will compare fractions with the same numerator or denominator.

## Comparing Fractions

4

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

## Comparing Fractions

4

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

## 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.

## Dividing

3

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

## Dividing

3

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

## Dividing

4

I will make sense of multiplicative comparisons.

## Fraction Equivalence

4

I will create equivalent fractions and explain fraction equivalence.

## Fraction Equivalence

5

I will simplify fractions to lowest terms.

## Multiplying

3

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

## Multiplying

4

I will calculate and list multiples of whole numbers.

## Multiplying

4

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

## Multiplying & Dividing Large Numbers

4

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

## Multiplying & Dividing Large Numbers

4

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

## Multiplying & Dividing Large Numbers

4

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

## Multiplying & Dividing Large Numbers

6

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

## Understanding Fractions

2

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

## Understanding Fractions

3

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

## Understanding Fractions

3

I will represent fractions on a number line.

## Understanding Fractions

3

I will recognize and generate equivalent fractions using visual models.

## Understanding Fractions

3

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

## Understanding Fractions

4

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

## 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.

## Area of Rectangles

3

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

## Area of Rectangles

3

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

## Area of Rectangles

4

I will explore the relationship between the perimeter and area of rectangles.

## Area of Rectangles

4

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