Alternate AssessmentMathSpring 2012

The Main Concepts

GeometryMeasurementAlgebra

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.

3rd Geometry ConceptsKAAP (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 blocks4. 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 12. Create equal share3. Have students fold for unit

fractions.

Fraction Sort

4th GradeKAAP (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?

http://exchange.smarttech.com

4th Grade Geometry ConceptsKAAP (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...

http://www.primaryresources.co.uk/maths/mathsE7.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 AngleThis 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 AngleThis 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 AngleThis 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°.

http://www.primaryresources.co.uk/maths/mathsE7.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 ConceptsKAAP (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

5cm3

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—5th 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 3rd grade.)

QuadrilateralParallelogram

Two pairs of parallel sides

RectangleAll Angles Equal (90°)

RhombusAll Sides Equal

SquareAll Angles Equal and All Sides

Equal

One pair of parallel sides

Trapezoid

To Get Resources

1. www.bigeastcoop.org2. Click on complex needs3. Click on Alternate Assessment Spring 2012

Tammy.Wall@kedc.org