Teaching Algebra with Manipulatives

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$Common Core MCISD Math Grade 4 12/13 Part 1 Â» Form A (Master ...$

Chapter 8 Teaching Notes and Overview Ask students to complete the Exercises 1–3. Go over the results as soon as the groups have completed the work. Answers See Teacher Wraparound Edition pp. 453–454. © Glencoe/McGraw-Hill 262 Teaching Algebra with Manipulatives
NAME ______________________________________________ DATE Algebra Activity Recording Sheet Midpoints and Distance Formulas in Three Dimensions ____________ PERIOD ____ (Use with the Lesson 8-1 Follow-Up Activity on pages 417–418 in the Student Edition.) Materials: none Exercises Find the distance between each pair of points with the given coordinates. 1. (2, 4, 5), (1, 2, 3) 2. (1, 6, 2), (4, 3, 0) 3. (2, 1, 7), (2, 6, 3) 4. (0, 7, 1), (4, 1, 3) Find the midpoint of each line segment with endpoints at the given coordinates. 5. (2, 6, 1), (4, 8, 5) 6. (4, 3, 2), (2, 7, 6) 7. (1, 3, 7), (4, 2, 1) 8. (2.3, 1.7, 0.6), (2.7, 3.1, 1.8) 9. The coordinates of one endpoint of a segment are (4, 2, 3), and the coordinates of the midpoint are (3, 2, 5). Find the coordinates of the other endpoint. 10. Two of the opposite vertices of a rectangular solid are at (4, 1, 1) and (2, 3, 5). Find the coordinates of the other six vertices. 11. Determine whether a triangle with vertices at (2, 4, 2), (3, 1, 5), and (6, 3, 1) is a right triangle. Explain. The vertices of a rectangular solid are at (2, 3, 2), (3, 3, 2), (3, 1, 2), (2, 1, 2), (2, 3, 6), (3, 3, 6), (3, 1, 6), and (2, 1, 6). 12. Find the volume of the solid. 13. Find the length of a diagonal of the solid. 14. Show that the point with coordinates x 1 , y 1 , z 1 2 2 2 is equidistant from the points with coordinates (x 1 , y 1 , z 1 ) and (x 2 , y 2 , z 2 ). 15. Find the value of c so that the point with coordinates (2, 3, c) is 36 units from the point with coordinates (1, 0, 5). The endpoints of a diameter of a sphere are at (2, 3, 2) and (1, 1, 4). 16. Find the length of a radius of the sphere. 17. Find the coordinates of the center of the sphere. Parabolas © Glencoe/McGraw-Hill 263 Teaching Algebra with Manipulatives x 2 y 2 z 2 Algebra 2—Chapter 8
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Teaching Algebra with Manipulatives
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Contents Easy-to-Make Manipulatives
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Algebra 1 Activities Page 14-5 Alge
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Glencoe Mathematics Manipulatives G
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Centimeter Grid Paper © Glencoe/Mc
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Coordinate Planes © Glencoe/McGraw
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Coordinate Planes for Trigonometric
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Conic Graph Paper (circles and line
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Algebra Tiles (units) 1 1 1 1 1 1 1
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Integer Models Summary There are tw
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Equation Models Summary A zero pair
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Equation Mat © Glencoe/McGraw-Hill
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Rectangular Dot Paper © Glencoe/Mc
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Problem Solving Guide Problem: Expl
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Die Patterns Cut along the heavy bl
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© Glencoe/McGraw-Hill 24 Teaching
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Chapter 1 Mini-Project Evaluating E
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Chapter 1 Teaching Notes and Overvi
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Using Overhead Manipulatives (Use w
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The Distributive Property Materials
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Investigating Real-World Functions
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NAME ______________________________
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Using Overhead Manipulatives • Re
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Using Overhead Manipulatives • Ha
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Formulas NAME _____________________
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Using Overhead Manipulatives Demons
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Using Logic NAME __________________
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Chapter 5 Using Overhead Manipulati
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Demonstration 2 Finding Slope: Zero
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Demonstration 2 Writing an Equation
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Making Predictions Materials: NAME
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23 22 21 20 NAME __________________
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Compound Inequalities (Continued) 1
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Absolute Value NAME _______________
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Chapter 8 Polynomials Teaching Note
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Factoring Trinomials Materials: NAM
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Factoring Trinomials x NAME _______
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Difference of Squares Materials: NA
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Demonstration 2 Factoring 4x 2 4x
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Factoring Trinomial Squares Figure
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Chapter 10 Quadratic and Exponentia
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Chapter 10 Teaching Notes and Overv
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Using Overhead Manipulatives • Ar
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Chapter 11 Radical Expressions and
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Chapter 12 Rational Expressions and
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Chapter 13 Statistics Teaching Note
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Analyze the Data 1. Cut out the gra
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Investigating Percentiles Materials
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Chapter 14 Teaching Notes and Overv
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Simulations NAME __________________
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Page 221 and 222: Investigating Polygons and Patterns
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Page 263 and 264: Algebra Activity Draw Graph each fu
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Page 303 and 304: Simulations NAME __________________
Page 305 and 306: Chapter 13 Trigonometric Functions
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Page 309 and 310: Investigating Regular Polygons Usin
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Teaching Algebra with Manipulatives

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