Use an inequality to express the possible numbers that a variable could represent.
Determine all the integers that satisfy a given inequality with a variable.
Represent inequalities on a number line.
Use the addition property of inequality to isolate variables and solve algebraic inequalities and express their solutions graphically.
-Students first learned what an inequality is and were given inequalities with a variable to graph on a number line. They learned if the symbol is < or > then the value is included in the solution and the dot on the number line is filled in. If the symbol is < or > then the value is not included in the solution and the dot is open.
-Students learned how to solve algebraic inequalties by isolating the variable to one side. Then they practiced graphing the inequality on a number line.
Solve the algebraic inequality x - 3 > 2
Then graph on a number line.
-How can we get x by itself?
- What does it mean when it is greater than instead of greater than or equal to?
x > 5
Techniques and Formulas
Explore the concept of volume using blocks.
Recognize volume as a measurement of 3D shapes.
Understand that volume is the measure of the amount of space inside a solid figure.
Understand that cubes can be counted to determine the volume.
Utilize different strategies for counting volume cubes.
-Students used grid paper to color in squares to represent the base of a 3D shape. Then they placed cubes on top the colored squares to create a rectangular prism and found the volume.
-Students built 3D shapes and used calculations to find the volume. They first calculated the base of each layer using their knowledge of area (L x W) and then added the layers together to get the volume.