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Summer Mathematics · Structured readiness program

Rising Grade 6

Rising Grade 6 Mathematics builds confidence, closes important skill gaps, and prepares the learner for the next academic level. Key areas include Ratio concept — the G6 signature.; Rates and unit-rate reasoning.; Represent ratio relationships..

24guided sessions
8learning focuses
45–60 minutes per sessiontypical session length

Program fit

A clear path into the next academic level

This program combines targeted instruction, guided practice, application, and a readiness check so families can see the learner’s strengths and next steps.

Recommended for
Designed for students entering Grade 6
Learning format
Live one-to-one tutoring with guided practice and readiness checks
Program structure
24-session learning sequence

Curriculum sequence

What the learner will work through

Open each learning focus to review the session topics, objectives, and standards alignment.

Learning focus 1 Ratio concept — the G6 signature. 3 sessions
  1. Session 1

    What a Ratio Is

    Understand and apply what a Ratio Is; solve introductory problems with support.

    Ratio concept — the G6 signature. Standards: 6.RP.1
  2. Session 2

    Ratio Language and Notation (a:b, a/b)

    Build accuracy and confidence with ratio Language and Notation (a:b, a/b) through practice and application.

    Ratio concept — the G6 signature. Standards: 6.RP.1
  3. Session 3

    Ratios in Real Life

    Build accuracy and confidence with ratios in Real Life through practice and application.

    Ratio concept — the G6 signature. Standards: 6.RP.1
Learning focus 2 Rates and unit-rate reasoning. 3 sessions
  1. Session 4

    Rates in Everyday Contexts

    Understand and apply rates in Everyday Contexts; solve introductory problems with support.

    Rates and unit-rate reasoning. Standards: 6.RP.2, 6.RP.3b
  2. Session 5

    Finding Unit Rates

    Build accuracy and confidence with finding Unit Rates through practice and application.

    Rates and unit-rate reasoning. Standards: 6.RP.2, 6.RP.3b
  3. Session 6

    Comparing with Unit Rates (Better Buy)

    Build accuracy and confidence with comparing with Unit Rates (Better Buy) through practice and application.

    Rates and unit-rate reasoning. Standards: 6.RP.2, 6.RP.3b
Learning focus 3 Represent ratio relationships. 3 sessions
  1. Session 7

    Building Ratio Tables

    Understand and apply building Ratio Tables; solve introductory problems with support.

    Represent ratio relationships. Standards: 6.RP.3a
  2. Session 8

    Equivalent Ratios in Tables

    Build accuracy and confidence with equivalent Ratios in Tables through practice and application.

    Represent ratio relationships. Standards: 6.RP.3a
  3. Session 9

    Plotting Ratio Pairs on the Coordinate Plane

    Build accuracy and confidence with plotting Ratio Pairs on the Coordinate Plane through practice and application.

    Represent ratio relationships. Standards: 6.RP.3a
Learning focus 4 Percent concept and computation. 3 sessions
  1. Session 10

    Percent as Rate per 100

    Understand and apply percent as Rate per 100; solve introductory problems with support.

    Percent concept and computation. Standards: 6.RP.3c
  2. Session 11

    Finding a Percent of a Quantity

    Build accuracy and confidence with finding a Percent of a Quantity through practice and application.

    Percent concept and computation. Standards: 6.RP.3c
  3. Session 12

    Fractions, Decimals, and Percents Together

    Build accuracy and confidence with fractions, Decimals, and Percents Together through practice and application.

    Percent concept and computation. Standards: 6.RP.3c
Learning focus 5 Completes fraction division (G6 critical area). 3 sessions
  1. Session 13

    Visual Models for Fraction Division

    Understand and apply visual Models for Fraction Division; solve introductory problems with support.

    Completes fraction division (G6 critical area). Standards: 6.NS.1
  2. Session 14

    Computing Quotients of Fractions

    Build accuracy and confidence with computing Quotients of Fractions through practice and application.

    Completes fraction division (G6 critical area). Standards: 6.NS.1
  3. Session 15

    Fraction Division Word Problems

    Build accuracy and confidence with fraction Division Word Problems through practice and application.

    Completes fraction division (G6 critical area). Standards: 6.NS.1
Learning focus 6 The rational number system opens. 3 sessions
  1. Session 16

    Negative Numbers in Context

    Understand and apply negative Numbers in Context; solve introductory problems with support.

    The rational number system opens. Standards: 6.NS.5-7
  2. Session 17

    Opposites and Absolute Value

    Build accuracy and confidence with opposites and Absolute Value through practice and application.

    The rational number system opens. Standards: 6.NS.5-7
  3. Session 18

    Ordering Rational Numbers

    Build accuracy and confidence with ordering Rational Numbers through practice and application.

    The rational number system opens. Standards: 6.NS.5-7
Learning focus 7 Numerical/algebraic expressions. 3 sessions
  1. Session 19

    Whole-Number Exponents

    Understand and apply whole-Number Exponents; solve introductory problems with support.

    Numerical/algebraic expressions. Standards: 6.EE.1-2
  2. Session 20

    Order of Operations with Exponents

    Build accuracy and confidence with order of Operations with Exponents through practice and application.

    Numerical/algebraic expressions. Standards: 6.EE.1-2
  3. Session 21

    Writing Expressions with Variables

    Build accuracy and confidence with writing Expressions with Variables through practice and application.

    Numerical/algebraic expressions. Standards: 6.EE.1-2
Learning focus 8 One-step equations; readiness. 3 sessions
  1. Session 22

    Equations as Balance: One-Step Addition/Subtraction

    Understand and apply equations as Balance: One-Step Addition/Subtraction; solve introductory problems with support.

    One-step equations; readiness. Standards: 6.EE.5-7
  2. Session 23

    One-Step Multiplication/Division Equations

    Build accuracy and confidence with one-Step Multiplication/Division Equations through practice and application.

    One-step equations; readiness. Standards: 6.EE.5-7
  3. Session 24

    School-Year Readiness Check

    Demonstrate readiness for the new school year; identify any remaining gaps.

    One-step equations; readiness. Standards: 6.EE.5-7

Included learning support

Instruction that responds to the learner

Sessions can be adjusted for review, confidence building, acceleration, or preparation for the next course.

  • Guided instruction and worked examples
  • Targeted practice and real-world application
  • Readiness checks and practical next steps
  • Family-friendly progress guidance

Build the right summer plan

Start with the learner’s current level and fall goal

We will help you select the right program level, pace, and areas of focus.

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