# Math – Math Essential 7th Grade Lesson Plan

**Math 7th**

Introductory Work

- Complete IXL:
__A.1____Prime or composite____A.2____Prime factorization____A.3____Multiplicative inverses____A.4____Divisibility rules____A.5____Greatest common factor____A.6____Least common multiple____A.7____GCF and LCM: word problems____A.8____Scientific notation____A.9____Compare numbers written in scientific notation____A.10____Classify numbers__

**To complete this section you will find these videos helpful

**Unit 1 – Integers**

- Your teacher will give you an overview of integers. Take notes
- Learning Integers: Watch this introduction to Integers—Integers and Absolute Value. Take Notes.
- Acellus Lab on Integers
- Comparing Integers
- Opposites
- Working with opposites

- Learning Integers: Watch this video on Comparing and Ordering Integers
- Reinforcement: Understanding Opposites
- Your teacher will explain the concept of “Absolute Value.” Make Notes
- Absolute Value
- Common Core Standard 7.NS.A.1a: Describe situations in which opposite quantities combine to make 0.
- Acellus Lab on Absolute Value.
- Now that you know absolute value, click this!
- Follow up with this!
- Your teacher will explain adding integers. Take notes.
- Gizmo Lab – Absolute values with chips. Make Notes
- Gizmo Lab – Opposite and Absolute Values
- Watch Video: Adding and subtracting Integers
- Gizmo Lab – Adding and Subtracting Integers. Assessment Quiz.
- Your teacher will explain subtracting integers. Make Notes
- Integer Addition on a Number Line: Acellus video (“Adding Integers on a Number Line”)
- Positives and Negatives: Watch this….so cool!. Make Notes.
- Positively Adding: Check this out! Make Notes.
- IXL Common Core practice:
*7.NS.A.1b Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.*__Integers on number lines (7-B.2)____Absolute value and opposite integers (7-B.4)____Integer inequalities with absolute values (7-B.6)____Integer addition and subtraction rules (7-C.1)____Add and subtract integers (7-C.3)____Complete addition and subtraction equations with integers (7-C.4)____Add and subtract integers: word problems (7-C.5)____Decimal number lines (7-D.3)____Absolute value of rational numbers (7-H.3)____Add and subtract rational numbers (7-H.6)__

- Can you learn this???? Easy as ABCDE… Make Notes.
- They do GROW!
- More from Addition and Subtraction: Common Core Standard:
*7.NS.A.1c Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.*__Understanding integers (7-B.1)____Integers on number lines (7-B.2)____Integer addition and subtraction rules (7-C.1)____Add and subtract integers (7-C.3)____Complete addition and subtraction equations with integers (7-C.4)____Add and subtract integers: word problems (7-C.5)____Decimal number lines (7-D.3)____Add and subtract rational numbers (7-H.6)__

- Your teacher will explain to you about Multiplying and Dividing Integers
- Acellus Lab
- Multiplying integers
- Dividing integers
- Order of operations
- Order of operations with integers

- Quiz: Order of Operations
- Learning to Multiply positives and negatives: Multiplication
- Quiz: Multiplication of integers.
- Divided We Fall: Division of Positive and Negative Numbers
- IXL Common Core practice:
*7.NS.A.2a Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.* - 7.NS.A.2b Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.
__Multiplicative inverses (7-A.3)____Divisibility rules (7-A.4)____Integer multiplication and division rules (7-C.6)____Multiply and divide integers (7-C.7)____Complete multiplication and division equations with integers (7-C.8)____Divide decimals by whole numbers: word problems (7-E.6)____Understanding fractions: word problems (7-F.3)____Divide fractions and mixed numbers: word problems (7-G.14)____Multiply and divide rational numbers (7-H.8)__

- Watch this basketball challenge and work it if you can
- IXL Common Core Practice: 7.NS.A.2c Apply properties of operations as strategies to multiply and divide rational numbers.
__Evaluate numerical expressions involving integers (7-C.9)____Multiply decimals (7-E.3)____Divide decimals (7-E.5)____Evaluate numerical expressions involving decimals (7-E.11)____Multiply fractions and whole numbers (7-G.7)____Multiply fractions (7-G.9)____Multiply mixed numbers (7-G.10)____Divide fractions (7-G.12)____Divide mixed numbers (7-G.13)____Apply multiplication and division rules (7-H.9)____Properties of addition and multiplication (7-R.8)__

- Play Math Jeopardy
- Active Learn Math Reading (Teacher Assigned)

**Unit 2 – Rates and Ratios**

- In Class Overview of Rates and Proportions. Make notes
- Watch Ratio Video
- Acellus Lab on Rates and Proportions
- Ratios
- Proportion Basics
- Proportion Word Problems
- Unit Rate

- Read these pages and complete the Problems: Unit 5.1
- Watch Proportion Video
- Teacher supplied proportion word problems
- Watch Video: Word Problems in Proportions.
- IXL-Practice
- Watch Video: More about Unit Rates
- In class overview of proportions and fractions. Make Notes
- Acellus Lab
- Proportions with Fractions
- Proportions with Complex Fractions
- Proportions and Percents

- Gizmo Lab – Percents and Proportions. Assessment Quiz.
- IXL -Practice
- Gizmo Lab – Moon to Beam (Ratio and Proportion). Assessment Quiz.
- IXL – Practice
- Find the constant of proportionality from a table (7-K.1)
- Find the constant of proportionality from a graph (7-K.3)
- Find the constant of proportionality: word problems (7-K.7)
- Solve proportions: word problems (7-J.10)
- Write equations for proportional relationships (7-K.4)
- Write equations for proportional relationships (8-I.4)

- Gizmo Lab– Proportions and Common Multipliers. Assessment Quiz
- In Class overview of percent of change. Make Notes
- Acellus Lab
- Percent of change
- Percent of Error
- Simple Interest
- Multi-step Percent Problems

- IXL-Practice
- Estimate population size using proportions (7-J.11)
- Estimate percents of numbers (7-L.4)
- Percents of numbers and money amounts (7-L.5)
- Percents of numbers: word problems (7-L.6)
- Solve percent equations (7-L.7)
- Solve percent equations: word problems (7-L.8)
- Percent of change (7-L.9)
- Percent of change: word problems (7-L.10)

- Gizmo Lab – Estimating Population Size. Assessment Quiz.
- Gizmo Lab – Percent of Change. Assessment Quiz
- In class overview of scale factor. Make Notes
- Acellus Lab
- Scale Factor
- Calculating Lengths
- Areas in scale drawings
- Scaled Drawings with different scales

- Watch Video on Scale Factor. Make Notes
- IXL- Practice
- Unit prices with unit conversions (7-M.4)
- Unit prices: find the total price (7-M.5)
- Percent of a number: tax, discount, and more (7-M.6)
- Find the percent: tax, discount, and more (7-M.7)
- Sale prices: find the original price (7-M.8)
- Multi-step problems with percents (7-M.9)
- Estimate tips (7-M.10)
- Simple interest (7-M.11)
- Compound interest (7-M.12)
- Experimental probability (7-DD.3)

- Actively Lead Math Related Reading (Teacher Assigned)

**Unit 3 – Fraction Expressions**

- Your Teacher will give you an overview Algebraic terms and vocabulary.
- Watch this video and take notes: Expressions in Algebra
- Acellus Lab – Expressions
- Algebraic vocabulary
- Evaluating expressions
- Simplifying expressions

- Your teacher will explain cumulative and distributive properties. Make Notes
- Watch this video: Commutative Property of addition and multiplication
- Watch this video: Distributive property
- IXL – Practice with properties and simplifying expresssion
- Properties of addition and multiplication (7-R.8)
- Distributive property (7-R.9)
- Write equivalent expressions using properties (7-R.11)
- Add and subtract like terms (7-R.12)
- Add, subtract, and multiply linear expressions (7-R.13)
- Factor linear expressions (7-R.14)
- Identify equivalent linear expressions (7-R.15)

- Your teacher will explain all about coefficients. Make notes
- What is a coefficient? Watch and make notes.
- Watch this to get more about terms.
- Acellus Lab
- Adding rational coefficients
- Subtracting Rational Coefficients
- Simplifying Expressions
- Expanding Expressions with Rational Numbers
- Factoring Algebraic Expressions

- IXL Practice – Real Life Word Problems
- Scientific notation (7-A.8)
- Watch this video on scientific notation.
- Compare numbers written in scientific notation (7-A.9)
- Evaluate numerical expressions involving integers (7-C.9)
- Round decimals (7-D.4)
- Estimate sums, differences, and products of decimals (7-E.7)
- Multi-step inequalities with decimals (7-E.9)
- Maps with decimal distances (7-E.10)
- Evaluate numerical expressions involving decimals (7-E.11)
- Equivalent fractions (7-F.1)
- Simplify fractions (7-F.2)

- Acellus Lab
- Recognizing Equivalent Expressions
- Translating Expressions
- Applications- Using Expressions

- Gizmo Lab – Equivalent Expressions. Assessment Quiz.
- IXL – More Real Life Word Problems
- Compare and order fractions (7-F.5)
- Compare fractions: word problems (7-F.6)
- Convert between mixed numbers and improper fractions (7-F.7)
- Compare mixed numbers and improper fractions (7-F.8)
- Round mixed numbers (7-F.9)
- Estimate sums and differences of mixed numbers (7-G.6)
- Estimate products and quotients of fractions and mixed numbers (7-G.15)
- Maps with fractional distances (7-G.17)
- Convert between decimals and fractions or mixed numbers (7-H.1)
- Compare ratios: word problems (7-J.5)
- Convert between percents, fractions, and decimals (7-L.2)
- Compare percents to fractions and decimals (7-L.3)
- Unit prices with unit conversions (7-M.4)
- Unit prices: find the total price (7-M.5)
- Estimate to solve word problems (7-N.1)
- Multi-step word problems (7-N.2)
- Guess-and-check word problems (7-N.3)
- Use Venn diagrams to solve problems (7-N.4)
- Find the number of each type of coin (7-N.5)
- Elapsed time word problems (7-N.6)

- Actively Learn Math Reading (Teacher Assigned)

**Unit 4 – Equations and Inequalities**

- Your teacher will give an overview of writing equations
- Watch this video: Writing equations
- Acellus Lab – Equations and Equalities
- Writing Equations
- Solving one-step Equations
- Solving two step Equations

- Gizmo Lab – Modeling and Solving two step equations. Assessment Quiz.
- IXL- Practice
- Acellus Lab
- Equations with rational numbers
- Equations with variable on both sides
- Using variable equations

- IXL- Practice equation word problems
- Acellus Lab
- Solving inequalities
- Inequality word problems 1
- Inequality word problems 2

- Gizmo Lab – Solving Inequalities. Assessment Quiz.
- IXL Practice – Inequality word problems
- Review: Before clicking…ask teacher for instructions. Click here!
- Actively Learn Math Reading (Teacher Assigned)

**Unit 5 – Statistics and Probability**

- Your teacher will explain Mean, Mode, Median
- Acellus Lab
- Mean and Mode
- Median and Range

- IXL Practice
- Acellus Lab
- Box and Whisker Plots
- Random Sampling
- Comparing Data Sets 1
- Comparing Data Sets 2

- IXL – Practice
- Acellus Lab
- Theoretical Probability
- Probability models
- Uniform Probability model
- Probability models with frequencies

- Gizmo Lab – Theoretical & Experimental Probability. Assessment Quiz.
- IXL – Practice
- Acellus Lab
- Experimental Probability
- Independent Events
- Dependent Events
- Simulation tools

- Gizmo Lab – Independent and Dependent events. Assessment Quiz.
- IXL – Practice
- Review: Before clicking…ask teacher for instructions. Click here!
- Actively Learn Math Reading (Teacher Assigned)

**Unit 6 – Angles**

- Acellus Lab – Angles
- Adjacent Angles
- Complimentary and Supplementary Angles
- Reflex Angles
- Angles that share a vertex
- Vertical Angles
- Triangle and Angles
- Drawing Triangles

- Gizmo Lab – Investigating Angle theorems.
- Actively Learn Reading (Teacher Assigned)

**Unit 7 – 2D Figures**

- Your teacher will give you an overview of Geometric figures. Take Notes
- Geometry: (Acellus: Area of Parallelograms)
- Geometry: (Acellus: Area of Triangles and Trapezoids)
- Geometry: (Acellus: Circle Vocabulary)
- Acellus Lab Figures 2D
- Area of a Parallelogram
- Area of Triangle and Trapezoids
- Circle Vocabulary
- Circumference: Finding C.
- Circumference: Finding R. and D.
- Area of Irregular figures

- IXL – Practice
- Gizo Lab – Circumference of a Circle. Assessment Quiz.
- Actively Learn Reading (Teacher Assigned)

**Unit 8 – 3D Figures**

- Acellus Lab on 3D Figures
- Identifying 3D figures 1-2
- Identifying Nets
- Cross Sections
- Surface area of prisms and pyramids
- Surface area of cylinders
- Volume of pyramids
- Volume of Composite figures
- Surface area of composite figures

- IXL – Practice
- Actively Learn Math Reading (Teacher Assigned)

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