Let's Read English

6th Grade Math Curriculum

6th Grade Math Curriculum

Let’s Read English’s math curriculum is not only great for students to learn math, but it is also a great resource for parents to teach their children math concepts. Most importantly, it makes learning math concepts fun and engaging. It might interest you that the curriculum meets all states’ standards.

There are numerous opportunities for students to practice their knowledge and skills. Find some important and informative links below.

A teacher teaching math on blackboard specifically to ESL learners

What Math Should a 6th Grader Know?

The major math strands for a sixth-grade curriculum are number sense and operations, algebra, geometry, and spatial sense, measurement, and functions, and probability. While these math strands might surprise you, they cover the basics of what a sixth grader should learn in math.

Students in 6th grade should already master math facts to help them understand more advanced math concepts. Some of the skills your child should already know going into sixth grade include:

  • Comparing and ordering numbers using place value chart and number lines
  • Multiplying 2-digit by 2-digit numbers and 3-digit by 3-digit numbers
  • Determining the greatest common factor and least common multiple
  • Reading and writing numbers to the thousandths in written and standard form
  • Adding mixed numbers with and without regrouping
  • Measuring right, acute, obtuse, and straight angles using a protractor
  • Writing and evaluating algebraic expressions
Focus girl trying to solve mathematical equation

Find out more information about Let’s Read English’s 6th grade math curriculum from the scope and sequence and the 6th grade math lesson plans.

Math Objectives for 6th Grade

When you know the objectives of a course, it will be easier to track your child’s progress in the course. Find some of the objectives of 6th grade math curriculum below.

  • Ability to carry out various operations on decimals.
  • Data comparisons with the use of rates and ratios.
  • Using ordered pairs to plot points on a graph.
  • Introduction to some pre-algebra concepts.
  • The relationship between percentages, decimals, and fractions.
  • Introduction to and application of frequency tables.

Sixth-Grade Math Scope & Sequence

Chapter 1: “Whole Numbers”

Students will use Roman and Greek numerals.Students will find equivalent forms for whole numbers.

Students will find equivalent forms for whole numbers.

Students will compare and order whole numbers up to one trillion.

Students will round whole numbers up to one trillion.

Students will estimate whole numbers when solving problems.

Students will add and subtract whole numbers up to one trillion.

Students will multiply and divide whole numbers up to four digits.

Students will divide whole numbers with the dividend being no larger than five digits and the divisor being no more than three digits.

Students will use the standard algorithm to divide 4-digit dividends by 2-digit divisors.

Students will apply strategies in order to solve real-life problems.

Chapter 2: “Operations with Whole Numbers”

Students will evaluate expressions using exponents and square roots.

Students will apply the order of operations in order to solve problems.

Students will use variables in order to simplify expressions.

Students will apply properties of addition and multiplication when solving problems.

Students will identify patterns, arithmetic and geometric sequences.

Students will solve one-step equations using only whole numbers.

Students will find the perimeter of given shapes.

Students will identify the area of a given shape.

Students will use choose the method for computation and use models and concrete objects to solve real-life problems.

Chapter 3: “Decimals”

Students will identify decimal place value and write the number in standard, written and expanded form.

Students will compare and order decimals including using a number line.

Students will round and estimate decimals in performing all four operations.

Students will add and subtract decimals using money.

Students will multiply and round decimals.

Students will divide by whole numbers and decimals.

Students will compare rational numbers using scientific notation.

Students will solve one-step equations with decimals using addition, subtraction, multiplication and division.

Students will use the guess and check and reasonableness strategies in order to solve real-life problems.

Chapter 4: “Fractions”

Students will identify pictorial and numerical representations of fractions and mixed numbers.

Students will find the lowest common multiple of more than two numbers.

Students will find the least common denominator for two or more fractions.

Students will learn divisibility rules for 2, 3, 4, 5, 6, 9 and 10 for sets of numbers.

Students will solve problems using prime factorization.

Students will find the factors of whole numbers by listing factors and using prime factorization.

Students will simplify fractions with prime factorization and greatest common factor. Students will also show division remainders as simplified fractions.

Students will find equivalent fractions by finding the missing variable and applying concepts used to find equivalent fractions for improper fractions and mixed numbers.

Students will find equivalent forms for decimals and fraction including repeating decimals.

Students will compare and order fractions including using a number line.

Students will round fractions to the nearest half number and estimate sums, differences, products and quotients.

Students will add and subtract fractions with like denominators.

Students will add fractions and mixed numbers with unlike denominators.

Students will subtract fractions and mixed numbers with unlike denominators.

Students will multiply fractions and mixed numbers.

Students will divide fractions and mixed numbers.

Students will divide whole numbers by fractions.

Students will divide fractions by fractions.

Students will solve one-step equations using fractions and all four operations.

Chapter 5: “Understanding Integers and Number Lines”

Students will identify the opposite of a number and the opposite of the opposite of a number.

Students will use positive and negative numbers to represent quantities in the real world.

Students will find rational numbers on a number line.

Chapter 6: “Absolute Value”

Students will work to understand absolute value.

Students will compare absolute values of rational numbers.

Chapter 7: “Integers”

Students will use integers to describe real-life situations and show them on a number line.

Students will compare integers and rational numbers.

Students will compare rational numbers that represent real-world situations.

Students will add and subtract using integers.

Students will multiply and divide using integers.

Students will solve one step equations with integers including fractions and decimals.

Students will use deductive or inductive reasoning, process of elimination or work backwards to solve real-life problems.

Chapter 8: “Graphing”

Students will select appropriate representation and present data while justifying their choice.

Students will use frequency tables and identify appropriate intervals.

Students will use Venn Diagrams, stem-and-leaf plots and line plots.

Students will use bar graphs and histograms to answer questions.

Students will read and interpret line graphs, double line graphs and line plots.

Students will create double bar and line graphs.

Students will locate and plot points on a coordinate graph using ordered pairs.
Students will identify outliers, range, mean, median and mode.

Students will work with fair surveys.

Students will read and interpret stem and leaf plots.

Students will read, interpret and create box and whisker graphs.

Students will make a table, an organized list, draw a picture or use logic to solve problems.

Chapter 9: “Integers and the Coordinate Plane”

Students will recognize when ordered pairs are reflected over one or both axes.

Students will find and position pairs of rational numbers on a coordinate plane.

Students will graph points to solve problems.

Chapter 10: “Measurement”

Students will identify the property tool and perform conversions using the metric system.

Students will use correct tools and perform conversions using the customary system of measurement.

Students will find the approximate measurement to the nearest unit and use reasonableness to determine the best unit for measurement.

Students will estimate and find measures of time and elapsed time as well as customary and metric temperature.

Students will find area and perimeter of quadrilaterals.

Students will communicate the process for solving problems, describe the steps and solve a simpler problem in real-life problems.

Chapter 11: “Ratios, Proportions, Percents”

Students will solve proportions and ratios as decimals and percents.

Students will set up proportions and solve unit rates and problems using geometric pictures.

Students will solve problems with rates and simple interest.

Students will understand unit rates and to use diagrams to find unit rates.

Students will show equivalent forms of percents in fractions and decimals and solve problems that are greater than 100%.

Students will read and interpret circle graphs and identify appropriate graphs given percent values.

Students will find the percent of a number, the whole or the percent.

Students will find price using sales tax and discounts.

Students will make predictions from data and solve multi-step problems.

Chapter 12: “Using Ratios and Rates to Compare and Solve Problems”

Students will use a table of equivalent ratios to solve problems.

Students will use a table to compare and plot ratios.

Students will express ratios and solve for wholes by using percents.

Students will use ratio reasoning to convert measurement units.

Chapter 13: “Geometry”

Students will identify points, rays, lines, line segments and planes.

Students will measure and classify angles, solve problems involving unknown angles, find the sum of angles in polygons and identify special angles.

Students will classify lines as parallel, perpendicular or skew.

Students will identify similar triangles with proportions and classify by side or angle.

Students will find the missing measures using the Pythagorean Theorem.

Students will identify name of shape by sides.

Students will identify characteristics of three-dimensional figures using faces, edges and vertices and identify different views.

Students will classify quadrilaterals and find cross sections.

Students will find the missing term in a geometric pattern and use tessellations

Students will apply concepts of congruency, similarity and symmetry.

Students will identify translations, rotations and reflections on a coordinate grid.

Students will estimate and find area of regular and irregular figures. Students will also compare diameter and radius.

Students will find area by composing and decomposing shapes.

Students will find area and circumference of a circle.

Students will find missing sides with similar triangles.

Students will find the surface area.

Students will find volume of prisms, cubes and cylinders.

Students will use a formula to solve a problem and relate math ideas to other content areas in real-life problems.

Chapter 14: “Expressions”

Students will identify parts of algebraic expressions.

Students will write and evaluate expressions.

Students will model and use the Distributive Property to write equivalent expressions.

Students will identify equivalent expressions and explain why two expressions are equivalent.

Students will write expressions with one operation to represent real world situations.

Students will write expressions with more than one operation to represent real-world situations.

Chapter 15: “Equations and Inequalities”

Students will solve real-world equations.

Students will write and solve equations to solve real-world problems.

Students will write equations in two variables.

Students will write equations in two variables.

Students will represent solutions of inequalities on number lines.

Chapter 16: “Functions and Probability”

Students will identify function relationships and solve and interpret on graphs.

Students will find the distance between two points and plot points on 4 quadrants.

Students will draw conclusions from data and justify why an answer is reasonable.

Students will determine possible outcomes and represent probability with ratios.

Students will find the probability of an event.

Students will compare events, compliments and list outcomes using theoretical probability.

Students will identify different between dependent and independent events.

Students will find combinations and permutations.

Students will solve problems by writing and equation and simplifying algebraic expressions.

Why Choose Let’s Read English’s 6th Grade Math Online School Curriculum?

Let’s Read English’s curriculum can be used as a full-year curriculum or as a supplement to another program. Many parents use it to teach their children the essential math concepts. With our lesson plans, you can easily track your child’s learning against the objectives of the course.

These are some of the reasons why your child is better off with Let’s Read English’s curriculum:

Writing the mathematics formulas on a blackboard
As a Full CurriculumAs a Supplement
  • The curriculum will stimulate your child’s interest and reinforce his knowledge and
    skills.
  • Our curriculum calculator and activity planners will help students and their parents plan their programs and also keep track of the progress.
  • Lessons can be organized with graphic organizers.
  • Lessons are filled with technical terms to help students build their
    vocabulary.
  • The curriculum will broaden students’ knowledge about places in the world and diversity of cultures and beliefs.
  • Let’s Read English’s system offers automated recordkeeping features and grading
    systems.
  • Lessons are supported with projects and writing assignments to build literacy skills.
  • Develops students’ knowledge on transformation of the ancient world into contemporary world.
  • Parents have the liberty to customize the curriculum.
  • Also, students can progress at their individual paces.
  • Students have the option to repeat lessons and even retake tests and quizzes
  • Lessons, quizzes, and tests can be retaken multiple times until mastery is achieved.
  • Every lesson begins with a warm-up activity.
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