Alternate Assessment Math Spring 2012

The Main Concepts Geometry Measurement Algebra

Grade 3 KAAP (M-3.4) Generate measurement data by measuring a variety of lengths to the inch or half-inch using standard units of measurement and show the data on a line plot. 1.Identify a line plot. 2.Have students measure various items and record measurement to nearest or half-inch. Place data on post-it note. Use data to create line plot. 3. Students chart growth of plant and record on different type of line graph.

3 rd Geometry Concepts KAAP (M-3.5) Understand that shapes in different categories may share attributes. Recognize rhombuses, rectangles and squares as examples of quadrilaterals. 1.Create a graphic organizer. 2.Use a Venn Diagram for similarities and differences. 3.Use attribute blocks 4.Create game board and spinner with names of polygons on it. KAAP (M-3.6) Partition shapes into equal parts and express each part as a unit fraction of the whole. 1.Unit Fraction (numerator of 1 2.Create equal share 3.Have students fold for unit fractions.

Fraction Sort

4 th Grade KAAP (M-4.4) Apply the area and perimeter formulas for rectangles in real world and mathematical problems. 1.The number of units needs to relate to the size of the unit. They need to discover that there are 12 inches in 1 foot and 3 feet in 1 yard. Allow students to use rulers and yardsticks to discover these relationships among these units of measurements. 2. Using 12-inch rulers and yardstick, students can see that three of the 12- inch rulers, which is the same as 3 feet since each ruler is 1 foot in length, are equivalent to one yardstick. Have one inch squares handy and have students complete either using blocks or Arnie/Prancer.

How much tile will I need in order to place around my pool?

4 th Grade Geometry Concepts KAAP (M-4.5) Identify points, lines, perpendicular lines, parallel lines and right, acute and obtuse angles in two dimensional figures. 1.Students need lots of practice creating these and finding pictures. 2.Use coffee stirrers to construct various shapes for practice. 3.Use literature book for reinforcement. KAAP (M-4.6) Classify two-dimensional figures based on perpendicular lines, parallel lines and angle measure. 1.Two-dimensional shapes are classified based on relationships by the angles and sides. 2.Students can determine if the sides are parallel or perpendicular, and classify accordingly..

The Angles Come and meet the Angle family... hsE7.htm

“Hi! We’re the Angles, we’re one family, but all very different, so let us tell you a bit about ourselves!”

Mr. Obtuse Angle This is Obtuse. He’s the husband of the family. He’s bigger than Right and Acute. He’s always inside, and he always measures between 90° and 180° (depending on how much dinner he’s eaten!)

Mrs. Right Angle This is me. I’m Mrs. Right Angle. I always measure 90°, my favourite shape is a square, and whatsmore, no matter what my husband tells you, I’m always right!

Baby Acute Angle This is baby Acute angle. Isn’t he cute?! He loves a hug, and always has his arms out for cuddles! He’s the smallest of the family, measuring less than 90°. hsE7.htm

Parallel These type of lines stay the same distance apart for their whole length. They do not need to be straight or the same length.

Perpendicular A line that is drawn in a right angle to another line. In solid shapes edges could be at a right angle to one another. Faces could also be at right angles to one another.

Fifth Grade KAAP (M-5.4) Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane. 1.Set up a graph in which the x and y axis are identified. Students need to know these. 2.When playing games with coordinates or looking at maps, students may think the order in plotting a coordinate point is not important. Have students plot points so that the position of the coordinates is switched or close. For example, have students plot (3, 4) and (4, 3) and discuss the order used to plot the points. 3.Play Battleship or some other type of game where they have to identify the point.

Grade 5 Geometry Concepts KAAP (M-5.5) Measure volume by counting unit cubes, using cubic in., cubic ft., and improvised units. 1. Volume refers to the amount of space that an object takes up and is measured in cubic units such as cubic inches or cubic centimeters. Students need to experience finding the volume of rectangular prisms by counting unit cubes, in metric and standard units of measure, before the formula is presented KAAP (M-5.6) Understand that attributes belonging to a category of two dimensional figures also belong to all subcategories of that category. Details learned in earlier grades need to be used in the descriptions of the attributes of shapes. The more ways that students can classify and discriminate shapes, the better they can understand them. The shapes are not limited to quadrilaterals

Volume 5cm 3

Capacity Sort Collect various containers, with one marked as the “target.” Have students sort the collection into those that hold more than, less than, or about the same. (You could use a Venn diagram to display.) Create a recording sheet on which the container is listed and a place to circle “holds more”, “holds less”, “holds the same” is listed. Have students use beans or rice to compare the volumes. Van De Walle, at el> Elementary and Middle School Mathematics, pg. 381

Example—5 th Grade How many fit in the box?

Examples: Sort the shapes into 3 categories (one set of parallel sides, 2 sets of parallel sides, no sets of parallel sides). Do the same for perpendicular lines and various angles. Point out right, acute, and obtuse angles in the cards. Do the same for parallel and perpendicular lines. Measure the sides of the square and rectangle and find the area and perimeter. (They will have learned to measure in 3 rd grade.)

Quadrilateral Parallelogram Two pairs of parallel sides Rectangle All Angles Equal (90°) Rhombus All Sides Equal Square All Angles Equal and All Sides Equal One pair of parallel sides Trapezoid

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