Teach To One Roadmaps - Math Skills
6th Grade
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.
Grade 6
Dividing Fractions
- I will divide with fractions using visual models.
- I will divide with fractions using an algorithm.
Positive & Negative Numbers on Number Line
- I will use integers and other rational numbers to represent numerical situations and place them on a number line.
- I will write, interpret, and explain statements of order for rational numbers on the number line and in real world contexts.
- I will find and interpret the absolute value of positive and negative rational numbers in mathematical and real world situations.
- I will identify and plot points in all four quadrants of a coordinate plane.
Standard Algorithm Operations
- I will fluently add and subtract multi-digit decimals using the standard algorithm.
- I will fluently multiply multi-digit decimals using the standard algorithm.
- I will fluently divide multi-digit decimals using the standard algorithm.
Algebraic Expressions
- I will use variables to represent numbers and write expressions to represent a real world or mathematical problem.
- I will substitute values into algebraic expressions and evaluate the expressions.
- I will use substitution to evaluate algebraic expressions or formulas using the order of operations, including parentheses and exponents.
- I will evaluate numerical expressions using the order of operations, including parentheses and exponents.
- I will apply the properties of operations to generate equivalent expressions and check the equivalency using substitution.
Numerical Expressions
- 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.
- I will find common multiples and the least common multiple (LCM) of two or more whole numbers.
- 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
- I will understand solving an equation as finding the values for the variable that make the equation true.
- 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.
- I will solve one-step algebraic equations.
- I will solve problems by writing, solving, and interpreting one-step equations.
Ratio Thinking
- I will know how ratios work and express ratios in different forms using ratio language.
- 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.
- 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.
- I will understand the concept of rate and calculate and compare unit rates.
- I will represent linear relationships in tables, equations, and graphs in the first quadrant of the coordinate plane.
- I will solve real world and mathematical problems involving constant rates.
Percents
- I will represent percents as decimals to hundredths, fractions out of 100, and on a 100 grid.
- I will determine percents from ratios.
- I will solve real world and mathematical problems involving percents, including finding the whole, given a part and percent.
Data Analysis
- I will choose appropriate measures of center to describe data sets in real world and mathematical situations.
- I will describe data sets and their overall shape.
- I will calculate the mean absolute deviation of a data set and use it to describe the data set.
Representing Data
- I will make and use dot or line plots to represent and analyze data.
- I will calculate the mean of a data set and use it to describe the data set.
- I will determine the median and mode of a data set and use these measures of center to describe the data set.
- I will make and use box plots to represent and analyze data.
- I will record data in frequency tables and make and use histograms to represent and analyze data.
Area of Polygons
- I will develop and use an area formula in order to determine the area of any triangle.
- I will develop and use an area formula in order to determine the area of any parallelogram.
- I will use decomposition to find the area of trapezoids and other polygons.
- I will solve problems involving polygons on the coordinate plane.
Volume and Surface Area
- I will identify two-dimensional shapes that make up the faces and bases of three-dimensional objects and use nets to represent the objects.
- I will represent figures using nets made up of rectangles and triangles and use the nets to find the surface area of these figures.
- I will find the volume of a right rectangular prism with fractional edge lengths and solve real world and mathematical problems using volume.
Multiplying & Dividing Large Numbers
- I will fluently divide multi-digit whole numbers using the standard algorithm.
Grade 5
Numerical Expressions
- I will use the order of operations, including parentheses, to evaluate numerical expressions involving whole numbers.
Decimal Operations
- I will add and subtract decimals using a variety of strategies.
- I will multiply a decimal by a whole number using a variety of strategies.
- I will divide a decimal by a whole number using a variety of strategies.
- I will multiply a decimal by a decimal using a variety of strategies.
- I will divide a decimal by a decimal using multiple strategies.
Dividing Fractions & Whole Numbers
- I will divide unit fractions by whole numbers in real world and mathematical problems.
- I will divide whole numbers by unit fractions in real world and mathematical problems.
- 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.
- I will solve word problems involving division between unit fractions and whole numbers.
- I will fluently multiply multi-digit whole numbers using the standard algorithm.
- I will divide large whole numbers by whole numbers with two or more digits and explain remainders within context.
Multiplying Fractions
- I will develop and use an algorithm for multiplying fractions.
- I will multiply mixed numbers.
- I will identify and convert among customary units of length, capacity, and mass/weight.
- I will multiply whole numbers by fractions.
- I will find the area of a rectangle with fractional side lengths.
Understanding Decimals
- I will compare and order decimals using the math symbols <, >, and =.
- I will use rounding rules to round numbers to the ones place and decimal place values.
- I will read and write decimal numbers using base ten numerals, number names, and expanded form.
- 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
- 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.
- I will use a pair of perpendicular lines, called axes, to define a coordinate system and locate points using coordinates.
- I will solve real-world problems by plotting and interpreting points in the first quadrant of the coordinate plane.
Powers of 10
- I will explain patterns about multiplying or dividing decimal numbers by powers of ten.
- I will identify and convert among metric units of length, capacity, and mass/weight.
- I will explain patterns in the number of zeros in the products when multiplying whole numbers by 10; 100; and 1,000.
Classifying Polygons
- I will classify and draw quadrilaterals by their angles and sides.
- I will classify and draw triangles by their angles and sides.
Volume of Rectangular Prisms
- I will develop and use a formula for finding the volume of rectangular prisms.
- I will understand volume and measure it using unit cubes.
Fraction Equivalence
- I will simplify fractions to lowest terms.
Grade 4
Understanding Decimals
- I will use fraction equivalence to add fractions with denominators of 10 and 100.
- I will compare decimals using models.
Understanding the Coordinate Plane
- I will identify and classify lines, line segments, rays, and angles.
- I will identify and draw intersecting, perpendicular, and parallel lines.
Classifying Polygons
- I will draw and measure angles and classify angles as acute, obtuse, right, and straight.
Adding & Subtracting
- I will add large whole numbers.
- I will subtract large whole numbers.
Comparing Fractions
- I will understand decimals are part of a whole and express decimals as fractions to tenths or hundredths.
- I will compare and order fractions using the math symbols <, >, and =.
Decomposing Fractions
- I will understand a fraction as a multiple of a unit fraction.
- I will recognize and generate equivalent products of fractions and whole numbers.
- 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
- I will make sense of multiplicative comparisons.
Fraction Equivalence
- I will create equivalent fractions and explain fraction equivalence.
Multiplying
- I will calculate and list multiples of whole numbers.
- I will identify and use the distributive property of multiplication over addition, relating it to area models.
Multiplying & Dividing Large Numbers
- I will multiply 2-digit by 2-digit numbers using area models to represent partial products.
- I will divide large whole numbers by one-digit whole numbers and explain remainders within context.
- I will identify all the factors of a given whole number and identify prime and composite numbers.
Understanding Fractions
- I will add and subtract fractions with like denominators using models.
Basic Algebraic Thinking
- I will solve word problems involving operations with whole numbers.
- I will generate a number or shape pattern that follows a given rule and identify features of the pattern.
- I will define, identify, and use the commutative and associative properties of addition and multiplication.
Area of Rectangles
- I will explore the relationship between the perimeter and area of rectangles.
- I will recognize area as additive and find the area of polygons composed of rectangles.
Grade 3
Adding & Subtracting
- I will add numbers within 1000 using a variety of strategies.
- I will subtract numbers within 1000 using a variety of strategies.
Comparing Fractions
- I will compare fractions with the same numerator or denominator.
Dividing
- I will interpret division as equal shares and know division facts with one-digit numbers.
- I will determine an unknown whole number in a multiplication or division equation.
Multiplying
- I will understand multiplication and know multiplication facts up to 10 times 10.
Understanding Fractions
- I will describe fractions using numbers, words, and pictures.
- I will represent fractions on a number line.
- I will recognize and generate equivalent fractions using visual models.
- I will recognize and generate fractions and whole numbers that are equivalent.
Basic Algebraic Thinking
- I will solve two-step word problems using all four operations.
Area of Rectangles
- I will understand the concept of area and find area of figures by counting square units.
- I will develop and use a formula for finding the area of rectangles.
Grade 2
Representing Data
- I will read and interpret different types of graphs.
Adding & Subtracting
- I will determine an unknown whole number in an addition or subtraction equation.
Understanding Fractions
- I will partition shapes and describe the shares using halves, thirds, and fourths.
