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Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
Groups write and evaluate expressions for various phone plans and scenarios to find which is the best deal. They then compare different approaches to writing expressions for the same scenario and discuss the concept of equivalent...
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Solving Inequalities
Investigate complex problem situations by applying inequalities. Building from concepts explored in the previous lesson plan, learners read word problems and develop inequalities to represent the situation. They then solve the...
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Inequalities
The 13th activity in the 28-part module asks scholars to write linear inequalities from a problem situation. Individuals then solve and interpret their results in the context of the problem.
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Graphing Solutions to Inequalities
Activate the strengths of your visual learners using an informative lesson. In the 15th installment of the series of 28, pupils graph their solutions on number lines to create a visual representation of solutions. Problems presented as...
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Generating Equivalent Expressions II
Discover how to apply the commutative and associative properties to generate equivalent expressions. The second activity in the 28-part module asks pupils to rearrange an expression by grouping like terms. From there, they can combine...
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Writing Products as Sums and Sums as Products
Create rectangle and area models to help students understand expressions. The third installment in the 28-part series has pupils first represent expressions using rectangular array models. The exercises help scholars understand the...
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Collecting Rational Number Like Terms
Teach pupils to handle fractions fluently. The sixth installment in the series of 28 has class members apply the concepts learned in previous lessons to expressions with fractional coefficients. The fractions are both mixed numbers and...
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Understanding Equations
After examining expressions in the first six lessons of the series, learners are now ready to apply those concepts to create equations in the seventh installment of 28. Each exercise contains a conceptual situation that helps build an...
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Using If-Then Moves in Solving Equations II
Continuing from the previous lesson in the 28-part series, learners write equations to model problem situations. They then solve the problem by applying the properties of equality. In contrast to the previous lesson, they do not write...
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Properties of Inequalities
Class members explore the meaning of inequality by comparing numbers and building number sentences. Using number cubes, pupils find numbers and compare them using inequality symbols. As the activity continues, operations are added to...
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Percent Increase and Decrease
Increase the percent of pupils that are fluent in solving change problems with an activity that asks class members to look at problems that involve either increases or decreases and to express the change in terms of the percent of...
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Tax, Commissions, Fees, and Other Real-World Percent Problems
Pupils work several real-world problems that use percents in the 11th portion of a 20-part series. The problems contain percents involved with taxes, commissions, discounts, tips, fees, and interest. Scholars use the equations formed for...
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From Ratio Tables to Equations Using the Value of a Ratio
Use the value of a ratio to set up equations. The teacher leads a discussion on determining equations from ratio tables in the 13th portion of a 29-part series. Pupils determine which of two equations to use to find the solution....
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A Synthesis of Representations of Equivalent Ratio Collections
Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...
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From Ratio Tables, Equations and Double Number Line Diagrams to Plots on the Coordinate Plane
Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...
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Writing Addition and Subtraction Expressions
Symbols make everything so much more concise. Young mathematicians learn to write addition and subtraction expressions — including those involving variables — from verbal phrases. Bar models help them understand the concept.
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Writing Division Expressions II
Division is division is division is division ... four different ways to write division. Scholars continue to learn about division expressions. They translate between several forms, including verbal phrases, expressions using the division...
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True and False Number Sentences II
Substitution is still the method of choice to verify number sentences. The detailed lesson has young mathematicians determining conditions for when number sentences are true or false through substitution. They learn to express these...
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Problems in Mathematical Terms
Whether scholars understand independent and dependent variables depends on you. The 32nd installment of a 36-part series has learners analyze relationships in real-world problems through tables. They determine independent and dependent...
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Replacing Letters with Numbers II
Teach about properties properly. Individuals investigate the commutative and identity properties for both addition and multiplication. They see that the properties hold true for all values by using substitution to test out several examples.
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Writing and Expanding Multiplication Expressions
Find out what's so standard about standard form. Scholars learn to write multiplication expressions with variables in the 10th lesson in a series of 36. They use different symbols for multiplication and translate between standard and...
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Distributing Expressions
You know how to factor expressions; now it's time to go the opposite way. Scholars learn to write algebraic expressions in expanded form using the distributive property. A problem set helps them practice the skill.
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True and False Number Sentences
True or false? Scholars determine the truth value of equations and inequalities through substitution. All values to use for substitution are given with each equation or inequality. This is the 24th lesson in a module of 36.
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From Equations to Inequalities
Sometimes, equality just doesn't happen. Scholars apply their knowledge of solving equations to identify values that satisfy inequalities in the 34th installment of a 36-part module. They test given sets of numbers to find those that are...
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