1 / 42

MAP 2 D

MAP 2 D. Quarter 4 Instructional Strategies Grade 6. MAP 2 D. Chapter 10 Measurement Chapter 2 Integers Chapter 11 Multi-Step Equations Inequalities. MAP 2 D. Instructional Strategies Chapter 10 Measurement. D. F. Let's Identify Parts of a Circle.

siusan
Download Presentation

MAP 2 D

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. MAP2D Quarter 4 Instructional Strategies Grade 6

  2. MAP2D Chapter 10Measurement Chapter 2Integers Chapter 11Multi-Step Equations Inequalities

  3. MAP2D Instructional StrategiesChapter 10Measurement

  4. D F Let's Identify Parts of a Circle First identify the radius as any line segment that joins a point on the circle to the center of the circle.

  5. G D F Let's Identify Parts of a Circle Introduce the diameter as any line segment that passes through the center of the circle and has its endpoints on the circle.

  6. G D E F Let's Identify Parts of a Circle A chord is a line segment that connects two points on a circle. Hint: The diameter is also a chord.

  7. G D E F Let's Identify Parts of a Circle radius diameter (also called a chord) chord

  8. AREA of a circle r = radius Area = r 2  3.14 Area is the space inside the circle.

  9. Circumference d = diameter Circumference of a Circle C = d  3.14 Circumference is the distance around a circle or sphere.

  10. 8 Leaving Answers in Terms of Pi Instead of multiplying by 3.14, leave the π symbol. Like a variable, it should appear after a coefficient. C = πd A = πr2 C = π2r A = π82 C = π2 8 A = π64 C = 16π A = 64π

  11. 8 C ≈ 16 3 A ≈ 64 3 Estimating with Pi π ≈ 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679… JUST USE 3  C = πd A = πr2 C = π2r A = π82 C = π2 8 A = π64 C = 16π A = 64π C ≈ 48 A ≈ 192

  12. Area vs. Volume Remember, area is the space inside a flat figure. It is measured using square units. Volume is the amount of space inside a prism. It is measured using cubic units.

  13. height Area of the Base Finding The Volume Any Prism Volume of a prism = Area of one Base  height V = Bh

  14. h V = h Volume of a Rectangular Prism area of the Base Volume = x height V = B h

  15. 11 m Area of a rectangle: 4 m 6 m Find the Volume of a Rectangular Prism Remember B is the area of the base. In this case, the area of the rectangle!! Step 1:Use the formula for the volume of a prism Step 2: Identify B and h. Step 3: Substitute 24 for B, and 11 for h. Step 4: Simplify

  16. h b h V = h Volume of a Triangular Prism area of the Base Volume = x height V = B h

  17. Area of a triangle: Find the Volume of a Triangular Prism Remember B is the area of the base. In this case, the area of the triangle!! Step 1:Use the formula for the volume of a prism Step 2: Identify B and h. Step 3: Substitute 35 for B, and 50 for h. Step 4: Simplify

  18. r h V = h Volume of a Cylinder area of the Base Volume = x height V = B h

  19. Area of a circle: Find the Volume of a Cylinder Remember B is the area of the base. In this case, the area of the circle!! Step 1:Use the formula for the volume of a cylinder 5 mm Step 2: Identify B and h. 12 mm Step 3: Substitute 25π for B, and 12 for h. Step 4: Simplify

  20. 5 2 13 5 2 l  w 9 5  2 Find the Area of a Shaded Region Think of putting wallpaper on a wall… …with a window Find the area of the wall And subtract out the window l  w = 107 sq. units 13  9 117 10

  21. 4 ft 8 ft Perimeter and Area of Rectangles Perimeter is the sum of all sides Area is the number of square units in a region. 4 3 m

  22. 4 in. 5 in. Area of a Triangle The FORMULA for finding the area of a triangle is because a triangle is half of a rectangle. Area of a rectangle is bh.

  23. MAP2D Instructional StrategiesChapter 10Measurement (After State Testing)

  24. 10 cm 8 cm 20 cm Let's Find the Area of a Parallelogram! Identify the base Identify the height Hint: The dotted line is an indicator of the height

  25. Let's Find the Area of a Parallelogram! Hint: The dotted line is an indicator of the height

  26. 4 in 5 in Let's Find the Area of a Triangle ! The FORMULA for finding the area of a triangle is because a triangle is half of the rectangle. Area of a rectangle is bh. Ch 21 L 6

  27. Plan A Plan B 4 in 5 in Ch 21 L 6

  28. Let's Find the Area of Complex Figures! 8 in ? ? 16 in 8 in 20 in Find the length of the missing sides Ch 21 L 2

  29. Complex Figures 8 in 12 in 8 in 16 in 8 in 20 in Find the area of the large rectangle Find the area of the small rectangle Subtract the areas Ch 21 L 2

  30. MAP2D Instructional StrategiesChapter 2Integers

  31. Let's Learn How to Find Lengths on a Coordinate Plane ! Y To find the length of a segment, compare the ordered pairs. ( 1, 2 ) ( 3, 2 ) X Cross out the common coordinate and find the difference of the other ones. EXAMPLE: (3, 2) and (1, 2) 3 – 1 = 2

  32. 2 2 Solving Two-Step Equations 6x – 2 = 10 Step 1 + 2 + 2 Add 2 to both sides of the equation 6x = 12 Step 2 Then divide both sides by 6 Step 3 x = 2 Simplify

  33. Solving Two-Step Equations Step 1 Subtract 5 from both sides of the equation -5 -5 Step 2 Then multiply both sides by 6 Step 3 x = 48 Simplify

  34. Let's Graph an Equation Rewrite the equation on the side of the function table Substitute the given value for the known variable

  35. 8 7 6 5 y = x + 2 4 3 x y 2 2 0 1 3 0 1 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 11 -1 4 2 -2 -3 -4 -5 -6 -7 -8 Let's Graph an Equation y = x + 2

  36. 8 7 6 5 y = x + 2 4 3 x y 2 2 0 1 3 0 1 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 11 -1 4 2 -2 -3 -4 -5 -6 -7 -8 Now we will graph the ordered pairs. y = x + 2 ( , ) ( , ) ( , ) Draw a line through the points. Label the line with the equation. Ch 19 L 5

  37. MAP2D Instructional StrategiesChapter 11Multi-Step Equations And Inequalities

  38. Let's Learn How to Find Lengths on a Coordinate Plane ! Y To find the length of a segment, compare the ordered pairs. ( 1, 2 ) ( 3, 2 ) X Cross out the common coordinate and find the difference of the other ones. EXAMPLE: (3, 2) and (1, 2) 3 – 1 = 2

  39. b x x b Simplifying Algebraic Expressions b b b b + = x x x x x x 1b + 2x + 2b + 2x = 3b+ 4x • A term can be a number, a variable, or a product of numbers and variables • Combine like terms

  40. Evaluating Algebraic Expressions Evaluate x + 5 for x = 11 Step 1: Substitute 11 for x. 11 + 5 Step 2: 16 Add. Section 1.1 Evaluating Algebraic Expressions

  41. Evaluating Algebraic Expressions Evaluate 2y + 3 for y = 4 Step 1: 2(4) + 3 Substitute 4 for y. Step 2: 8 + 3 Multiply. Step 3: 11 Add. Section 1.1 Evaluating Algebraic Expressions

  42. Evaluating Algebraic Expressions Evaluate 5x + 2y for x = 13 and y = 11 Step 1: 5(13) + 2(11) Substitute 13 for x and 11 for y. Step 2: 65 + 22 Multiply. Step 3: 11 Add. Section 1.1 Evaluating Algebraic Expressions

More Related