A comprehensive 4-week (20-day) 7th grade math curriculum designed for 11-year-olds, covering Number Sense, Ratios, Expressions, Equations, Geometry, and Data with daily lessons, worksheets, and engaging activities.
Day 1
Topic 1: Integers and Rational Numbers
Description: Introduction to integers and rational numbers on the number line.
Lessons: Overview of positive and negative integers, plotting on the number line.
Worksheets: Number line exercises, comparing integers.
Subject Explorer Activity: Plot different integers on a number line and explain their position.
Day 2
Topic 2: Adding and Subtracting Integers
Description: Explore rules for addition and subtraction of positive and negative numbers.
Lessons: Step-by-step rules and examples.
Worksheets: Practice addition and subtraction problems with integers.
Subject Explorer Activity: Solve and explain addition or subtraction problems with integers.
Day 3
Topic 3: Multiplying and Dividing Integers
Description: Understand how to multiply and divide positive and negative integers.
Lessons: Rules for signs in multiplication and division.
Worksheets: Practice multiplication and division problems with integers.
Subject Explorer Activity: Show examples of integer multiplication or division and explain sign rules.
Day 4
Topic 4: Rational Numbers and Fractions
Description: Introduction to fractions, decimals, and their relationship to rational numbers.
Lessons: Converting between fractions and decimals.
Worksheets: Conversion exercises and comparing fractions and decimals.
Subject Explorer Activity: Convert given fractions to decimals and explain the process.
Day 5
Topic 5: Operations with Fractions
Description: Adding, subtracting, multiplying, and dividing fractions and mixed numbers.
Lessons: Step-by-step operations with fractions.
Worksheets: Practice problems with fractions.
Subject Explorer Activity: Solve fraction operation problems and illustrate with visuals.
Day 6
Topic 6: Understanding Ratios
Description: Define and interpret ratios in real-world contexts.
Lessons: Ratio notation and word problems.
Worksheets: Practice identifying and writing ratios.
Subject Explorer Activity: Create real-life ratio examples and explain them.
Day 7
Topic 7: Equivalent Ratios
Description: Find and simplify equivalent ratios.
Lessons: Multiplying/dividing ratios to create equivalents.
Worksheets: Equivalent ratio exercises.
Subject Explorer Activity: Demonstrate finding equivalent ratios with examples.
Day 8
Topic 8: Unit Rates
Description: Calculate unit rates from given ratios.
Lessons: What is a unit rate and how to find it.
Worksheets: Word problems calculating unit rates.
Subject Explorer Activity: Calculate unit rates from various scenarios.
Day 9
Topic 9: Proportions and Solving Proportions
Description: Set up and solve proportions to find unknown values.
Lessons: Cross-multiplying and solving for variables.
Worksheets: Proportion problems with step-by-step solutions.
Subject Explorer Activity: Solve proportions and explain the steps.
Day 10
Topic 10: Percentages
Description: Understanding percentages and converting between fractions, decimals, and percents.
Lessons: Percent formulas and word problems.
Worksheets: Practice converting and calculating percentages.
Subject Explorer Activity: Create percentage problems and solve them.
Day 11
Topic 11: Variables and Expressions
Description: Introduction to variables and algebraic expressions.
Lessons: Writing expressions for word problems.
Worksheets: Translate verbal expressions into algebraic form.
Subject Explorer Activity: Write expressions for everyday situations.
Day 12
Topic 12: Simplifying Expressions
Description: Combine like terms and use the distributive property.
Lessons: Simplifying algebraic expressions step-by-step.
Worksheets: Practice combining like terms and distributing.
Subject Explorer Activity: Simplify given expressions and explain each step.
Day 13
Topic 13: Solving One-Step Equations
Description: Solve equations involving addition, subtraction, multiplication, or division.
Lessons: Equations balancing concept.
Worksheets: One-step equations practice.
Subject Explorer Activity: Solve one-step equations and describe the process.
Day 14
Topic 14: Solving Two-Step Equations
Description: Extend solving to equations requiring two steps.
Lessons: Isolating the variable using two operations.
Worksheets: Two-step equations problems.
Subject Explorer Activity: Solve two-step equations and verify answers.
Day 15
Topic 15: Inequalities
Description: Understand inequalities and graph solutions on a number line.
Lessons: Symbols (<, >, ≤, ≥) and shading number lines.
Worksheets: Practice writing and interpreting inequalities.
Subject Explorer Activity: Graph inequalities and explain their meaning.
Day 16
Topic 16: Basic Geometry: Points, Lines, and Angles
Description: Review geometric terms and types of angles.
Lessons: Points, lines, line segments, and angle types.
Worksheets: Identification and drawing exercises.
Subject Explorer Activity: Draw and label geometric figures.
Day 17
Topic 17: Perimeter, Area, and Volume
Description: Calculate perimeter and area of rectangles and triangles; volume of rectangular prisms.
Lessons: Formulas and examples.
Worksheets: Practice finding perimeter, area, and volume.
Subject Explorer Activity: Solve geometry problems and explain formulas.
Day 18
Topic 18: Surface Area
Description: Calculate surface area of rectangular prisms.
Lessons: Understanding of all faces and surface area formula.
Worksheets: Surface area exercises.
Subject Explorer Activity: Calculate surface area of given shapes.
Day 19
Topic 19: Introduction to Data and Graphs
Description: Understand different types of data and how to read bar and line graphs.
Lessons: Collecting data and graphing.
Worksheets: Graph reading and simple construction tasks.
Subject Explorer Activity: Create a bar or line graph from data.
Day 20
Topic 20: Mean, Median, Mode, and Range
Description: Calculate and interpret measures of central tendency.
Lessons: Definitions and calculation steps.
Worksheets: Data sets for calculating mean, median, mode, and range.
Subject Explorer Activity: Analyze a data set and explain the measures.
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