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.