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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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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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Angle Problems and Solving Equations
Learners build connections between algebra and geometry as they study equation solving. The ninth instructional activity in the series of 28 asks pupils to write equations using angle relationships. After writing equations to model...
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Using the Identity and Inverse to Write Equivalent Expressions
The fifth installment in the series of 28 lessons helps math scholars explore the result of adding opposite numbers and multiplying reciprocals. Through this exploration, they develop a working definition of identity and inverse properties.
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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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Using If-Then Moves in Solving Equations
In the eighth activity in a series of 28, math scholars justify the steps of solving algebraic equations. They solve linear equations through an analysis of equality properties, write each equation from a problem situation, and then...
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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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Generating Equivalent Expressions
Pupils develop expressions to describe the total number of sides on an unknown number of rectangles and triangles. Expressions contain multiplication, addition, and parentheses.
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Complementary and Supplementary Angles
Connect algebraic and geometric concepts to solve problems. The first instructional activity in the 29-part series examines complementary and supplementary angle relationships. Scholars write equations to represent the relationships and...
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Solving for Unknown Angles Using Equations III
Challenge your classes to combine geometric and algebraic concepts with an activity that builds on concepts learned in the first three lessons of the series. The fourth part asks scholars to identify geometric angle relationships and use...
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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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Angle Problems and Solving Equations II
Demonstrate the application of algebra to geometric angle relationships with an activity that asks learners to use what they know about adjacent and vertical angles to write algebraic equations. Diagrams become more complex in this...
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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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Writing Products as Sums and Sums as Products II
Explain algebraic relationships through an understanding of area and perimeter. Continuing concepts built in the third instructional activity of the series, the fourth installment of 28 asks learners to identify common expressions...
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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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Volume and Surface Area II
Determine the cost of projects based on volume or surface area. Pupils work problems to determine the cost of building a brick planter and a stainless steel feeder in the 27th installment of a 28-part series. Participants must consider...
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Generating Equivalent Expressions II
Discover how to apply the commutative and associative properties to generate equivalent expressions. The second lesson in the 28-part module asks pupils to rearrange an expression by grouping like terms. From there, they can combine...
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The Volume of a Right Prism
Does the volume formula work even if the measurements are not whole numbers? Class members work simple problems to find that the formula (area of the base) × (height) works for all prisms, independent of measurements and shape.
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The Most Famous Ratio of All
Pupils develop a definition of a circle based upon its radius in the 17th segment of a 28-part series. They determine the relationship between the radius and the diameter of a circle. To round out the lesson, they use the formula for the...
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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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Applying the Properties of Operations to Multiply and Divide Rational Numbers
Use properties to evaluate several multiplications and divisions. The 16th lesson in a series of 25 demonstrates to scholars how they can utilize properties of operations to evaluate complex numerical expressions involving multiplication...
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Opposite Quantities Combine to Make Zero
Find the cards that get to zero. The activity introduces the class to the idea of adding integers. Pupils use a number line to count up and count down when adding. They play a game to collect cards that will sum to zero.
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The Distance Between Two Rational Numbers
There has to be a better way than counting. Pupils find the distance on a number line between rational numbers by counting the number of intervals. Through a discussion, the class sees the connection between absolute value and the...
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Finding Equivalent Ratios Given the Total Quantity
Complete incomplete tables by using proportions. Pupils use information provided to complete tables based on proportions. Class members use their knowledge of part-to-part ratios and totals to find the missing information.
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