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
Operations with Rational Numbers
7
I will make sense of situations where an integer is combined with its opposite.
Operations with Rational Numbers
7
I will add integers and other rational numbers with and without the use of a number line.
Operations with Rational Numbers
7
I will subtract integers and other rational numbers with and without the use of a number line.
Operations with Rational Numbers
7
I will multiply and divide integers and other rational numbers.
Operations with Rational Numbers
7
I will solve real world and mathematical problems involving the four operations with rational numbers, especially negative numbers.
Operations with Linear Expressions
7
I will add and subtract linear algebraic expressions.
Operations with Linear Expressions
7
I will expand linear expressions.
Operations with Linear Expressions
7
I will factor linear algebraic expressions
Two Step Equations & Inequalities
7
I will translate real world situations into algebraic expressions and equations.
Two Step Equations & Inequalities
7
I will solve two-step equations.
Two Step Equations & Inequalities
7
I will solve two-step equations with positive and negative numbers.
Two Step Equations & Inequalities
7
I will solve algebraic equations using the distributive property.
Two Step Equations & Inequalities
7
I will solve algebraic equations using the I will translate verbal sentences into algebraic inequalities.
Two Step Equations & Inequalities
7
I will solve one and two-step inequalities and graph the solution set of an inequality on a number line.
Proportional Reasoning
7
I will compute unit rates associated with ratios of fractions.
Proportional Reasoning
7
I will graph a proportional relationship and explain what a point (x, y) on the graph means in terms of a situation.
Proportional Reasoning
7
I will represent proportional relationships by equations.
Proportional Reasoning
7
I will use ratio reasoning to decide if two quantities are in a proportional relationship.
Applying Percents
7
I will solve problems involving percent increase/decrease.
Applying Percents
7
I will solve multistep percent problems.
Applying Percents
7
I will calculate percent of change and percent of error.
Applying Percents
7
I will solve real world and mathematical problems about simple interest.
Representing Numbers
7
I will represent fractions as terminating or repeating decimals.
Representing Numbers
7
I will represent rational numbers in multiple ways.
Data Analysis
7
I will explore and explain the validity of sampling methods.
Data Analysis
7
I will use measures of center and variability to compare data sets.
Data Analysis
7
I will use data from random samples to draw inferences about a population and gauge variation in estimates or predictions using multiple samples.
Probability
7
I will recognize independent and dependent events and calculate the probabilities of compound events.
Probability
7
I will list the possible outcomes for compound events.
Probability
7
I will identify the outcomes of an event and determine the probability of an outcome represented by a ratio, fraction, decimal, or percent.
Probability
7
I will interpret data to establish experimental probabilities and use probabilities to predict the outcome of an experiment.
Circles
7
I will explore the relationship between the circumference and diameter of a circle in order to determine the circumference of a circle.
Circles
7
I will develop and use the formula for the area of a circle.
Circles
7
I will use a variety of strategies to find the area of two-dimensional geometric shapes composed of polygons and circles.
Circles
7
I will solve problems involving volume and surface area of three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Scale Figures
7
I will solve real world and mathematical problems using similar triangles or other similar shapes.
Scale Figures
7
I will solve real world and mathematical problems using maps and scale drawings.
Scale Figures
7
I will reproduce scale drawings at a different scale.
Angle Relationships
7
I will use angle relationships of intersecting lines to solve mathematical and real world problems.
Angle Relationships
7
I will explore how planes intersect with three-dimensional shapes.
Angle Relationships
7
I will construct triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
Dividing Fractions
6
I will divide with fractions using visual models.
Dividing Fractions
6
I will divide with fractions using an algorithm.
Number Lines and the Coordinate Plane
6
I will use integers and other rational numbers to represent numerical situations and place them on a number line.
Number Lines and the Coordinate Plane
6
I will write, interpret, and explain statements of order for rational numbers on the number line and in real world contexts.
Number Lines and the Coordinate Plane
6
I will find and interpret the absolute value of positive and negative rational numbers in mathematical and real world situations.
Number Lines and the Coordinate Plane
5
I will use a pair of perpendicular lines, called axes, to define a coordinate system and locate points using coordinates.
Number Lines and the Coordinate Plane
6
I will identify and plot points in all four quadrants of a coordinate plane.
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.
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 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 understand the concept of rate and calculate and compare unit 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.
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.
Representing Data
6
I will describe data sets and their overall shape.
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 develop and use an area formula in order to determine the area of any triangle.
Area of Polygons
6
I will use decomposition to find the area of trapezoids and other polygons.
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
7
I will solve problems involving volume and surface area of three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Adding & Subtracting Fractions
5
I will simplify fractions to lowest terms.
Adding & Subtracting Fractions
5
I will add and subtract fractions with unlike denominators.
Adding & Subtracting Fractions
5
I will add and subtract mixed numbers with unlike denominators.
Adding & Subtracting Fractions
5
I will solve problems by adding and subtracting fractions and mixed numbers with unlike denominators.
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.
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.
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.
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 explain patterns about multiplying or dividing decimal numbers by powers of ten.
Numerical Expressions
5
I will use the order of operations, including parentheses, to evaluate numerical expressions involving whole numbers.
Polygons
4
I will recognize area as additive and find the area of polygons composed of rectangles.
Polygons
5
I will classify and draw triangles by their angles and sides.
Polygons
5
I will classify and draw quadrilaterals by their angles and sides.
Volume of Rectangular Prisms
5
I will understand volume and measure it using unit cubes.
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 solve real world and mathematical problems involving additive volume and right rectangular prisms.
Angle Relationships
4
I will understand angles measured in degrees as a fraction of a circle.
Angle Relationships
4
I will draw and measure angles and classify angles as acute, obtuse, right, and straight.
Angle Relationships
4
I will solve addition and subtraction problems to find unknown angles.
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 decompose a fraction or mixed number into a sum of fractions with the same denominator in I will add and subtract mixed numbers with like denominators.
Fraction Equivalence
4
I will create equivalent fractions and explain fraction equivalence.
Fraction Equivalence
4
I will add and subtract fractions with like denominators using models.
Fraction Equivalence
4
I will add and subtract fractions with like denominators.
Missing Values in Equations
2
I will determine an unknown whole number in an addition or subtraction equation.
Missing Values in Equations
3
I will determine an unknown whole number in a multiplication or division equation.
Multiplying & Dividing
3
I will understand the concept of area and find area of figures by counting square units.
Multiplying & Dividing
3
I will develop and use a formula for finding the area of rectangles.
Multiplying & Dividing
4
I will identify and use the distributive property of multiplication over addition, relating it to area models.
Multiplying & Dividing
4
I will make sense of multiplicative comparisons.
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
5
I will fluently multiply multi-digit whole numbers using the standard algorithm.
Multiplying & Dividing Large Numbers
5
I will divide large whole numbers by whole numbers with two or more digits and explain remainders within context.
Multiplying & Dividing Large Numbers
5
I will fluently divide multi-digit whole numbers using the standard algorithm.
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 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
3
I will compare fractions with the same numerator or denominator.
Understanding Fractions
4
I will understand decimals are part of a whole and express decimals as fractions to tenths or hundredths.
Understanding Fractions
4
I will compare and order fractions using the math symbols <, >, and =.
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.