BIM Presentation Geometry

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    CCSS: 6.G.3 Represent three-dimensional figures using

    nets made up of rectangles and triangles, anduse the nets to find the surface area of these

    figures.

    Materials:

    Connecting cubes Graph paper

    Pencil

    Ruler

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    Draw the letter T using 10 identical squares.Label each of the vertices. How manysides are parallel and how many sides

    are perpendicular?A B

    CD

    EF

    GH

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    There are 9 cubes (each representing 1cubic unit) glued together in the shapeof an L. If this is dipped in red paint and

    then taken apart, how many faces willbe red?

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    Learning Shapes

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    CCSS:

    K.G.1 Describe objects in the environment

    using names of shapes, and describe therelative positions of these objects using termssuch as above, below, in front of, behind,and next to.

    K.CC.4 Understand the relationship betweennumbers and quantities; connect countingto cardinality.

    K.CC.5 Count to answer how many?questions about as many as 20 things

    arranged in a lone, a rectangle array, or acircle, or as many as 10 things in a scatteredconfiguration; given a number from 1-20,count out that many objects.

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    1.G.1 Distinguish between defining attributes(e.g., triangles are closed and three-sided)versus non-defining attributes (e.g., color,orientation, overall size) ; build and draw

    shapes, to possess defining attributes.

    Materials

    Pencils

    Pizza handout

    Ruler

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    My mother told me I had towatch my little brother after

    school. He brought three

    friends home, as well. Theywere all playing video games in

    the living room when I heardthem all complaining about

    how they were hungry. Being agood sister that I am, I decidedto make them a pizza. I asked

    my brother and his friends what

    they like on their pizza. Theydecided they wanted cheese,

    carrots, mushrooms, andpepperoni on their pizza.

    Cheese

    Carrots

    Mushrooms

    Pepperoni

    KEY

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    Understanding Fractions andPartitioning in Shapes

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    CCSS: 2.G.2 Partition a rectangle into rows and

    columns of same size squares and count tofind the total number of them.

    3.G.2 Partition shapes into parts with equalareas. Express the area of each part as a

    unit fraction of the whole. 2.G.3 Partition circles and rectangles into

    two, three, or four equal shares, describe theshares using the words halves, thirds, half of,

    a third of, etc., and describe the whole astwo halves, three thirds, four fourths.Recognize that equal shares of identicalwholes need to not have the same shape.

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    3.MD.5 Recognize area as an attribute ofplane figures and understand concepts ofarea measure.

    3.MD.6 Measure areas by counting unit

    squares (square cm, square m, square in,square ft, and improvised units).

    Materials

    Graph paper

    Pencil

    Ruler

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    Draw a 3 unit by 5 unit rectangle andseparate it into equal squares.

    What is the area in units of this rectangle?

    or

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    Whats the total area of the rectangle?

    Whats the area of the shaded part ofthe rectangle?

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    Understanding Coordinates andSymmetry

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    CCCS:

    4.G.3 Recognize a line of symmetry for a twodimensional figure as a line across the figure such that

    the figure can be folded along the line into matchingparts. Identify line-symmetric figures and draw line ofsymmetry.

    4.NF.2 Compare two fractions with different

    numerators and different denominators, e.g., bycreating common denominators or numerators, or bycomparing to a benchmark fraction such as 1/2.Recognize that comparisons are valid only when the

    two fractions refer to the same whole. Record theresults of comparisons with symbols >, =, or

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    5.G.2 Represent real world and mathematicalproblems by graphing points in the first quadrantof the coordinate plane, and interpretcoordinate values of points in the context of the

    situation.

    Materials: Pencil

    Ruler

    Graph paper

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    1. Graph the following points on a piece of graphpaper: (1,2) ; (4,2) ; (1,7) ; (4,7). What shape dothe coordinates make up? Explain how you

    know which shape it is.

    2. How many lines of symmetry does the shapehave?

    3. On the same graph paper, plot the followingpoints: (2,3) ; (2,6) ; (3,6) ; (3,3). Shade in the new

    shape.

    4. What portion of the original shape does the newshape make up? Write the portion in the

    simplest fraction form.