Standard
Benchmark
Indicator | Description | Lesson Plans | Thinkfinity | Resources |
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3
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The student uses geometric concepts and procedures in a variety of situations.
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3.1
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The student recognizes geometric shapes and compares their properties in a variety of situations.
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3.1.A1
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solves real-world problems by applying the properties of (2.4.A1g):
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3.1.A1A
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plane figures (circles, squares, rectangles, triangles, ellipses, rhombi, parallelograms, hexagons, pentagons) and the line(s) of symmetry; e.g., twins are having a birthday party. The rectangular birthday cake is to be cut into two pieces of equal size and with the same shape. How would the cake be cut? Would the cut be a line of symmetry? How would you know?
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3.1.A1B
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solids (cubes, rectangular prisms, cylinders, cones, spheres, triangular prisms) emphasizing faces, edges, vertices, and bases; e.g., ribbon is to be glued on all of the edges of a cube. If one edge measures 5 inches, how much ribbon is needed? If a letter was placed on each face, how many letters would be needed?
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3.1.A1C
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intersecting, parallel, and perpendicular lines; e.g., relate these terms to maps of city streets, bus routes, or walking paths. Which street is parallel to the street where the school is located?
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3.1.K1
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recognizes and investigates properties of plane figures and solids using concrete objects, drawings, and appropriate technology (2.4.K1g).
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3.1.K2
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recognizes and describes (2.4.K1g):
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3.1.K2A
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regular polygons having up to and including ten sides;
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3.1.K2B
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similar and congruent figures.
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3.1.A2
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identifies the plane figures (circles, squares, rectangles, triangles, ellipses, rhombi, octagons, pentagons, hexagons, trapezoids, parallelograms) used to form a composite figure (2.4.A1g).
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3.1.K3
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recognizes and describes the solids (cubes, rectangular prisms, cylinders, cones, spheres, triangular prisms, rectangular pyramids, triangular pyramids) using the terms faces, edges, and vertices (corners) (2.4.K1g).
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3.1.K4
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determines if geometric shapes and real-world objects contain line(s) of symmetry and draws the line(s) of symmetry if the line(s) exist(s) (2.4.K1g).
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3.1.K5
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recognizes, draws, and describes (2.4.K1g):
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3.1.K5A
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points, lines, line segments, and rays;
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3.1.K5B
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angles as right, obtuse, or acute.
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3.1.K6
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recognizes and describes the difference between intersecting, parallel, and perpendicular lines (2.4.K1g).
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3.1.K7
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identifies circumference, radius, and diameter of a circle (2.4.K1g).
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3.2
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The student estimates, measures, and uses measurement formulas in a variety of situations.
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3.2.A1
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solves real-world problems by applying appropriate measurements and measurement formulas ($):
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3.2.A1A
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length to the nearest eighth of an inch or to the nearest centimeter (2.4.A1a), e.g., in science, we are studying butterflies. What is the wingspan of each of the butterflies studied to the nearest eighth of an inch?
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3.2.A1B
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temperature to the nearest degree (2.4.A1a), e.g., what would the temperature be if it was a good day for swimming?
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3.2.A1C
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weight to the nearest whole unit (pounds, grams, nonstandard units) (2.4.A1a), e.g., if you bought 200 bricks (each one weighed 5 pounds), how much would the whole load of bricks weigh?
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3.2.A1D
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time including elapsed time (2.4.A1a), e.g., Bob left Wichita at 10:45 a.m. He arrived in Kansas city at 1:30. How long did it take Bob to travel to Kansas City?
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3.2.A1E
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hours in a day, days in a week, and days and weeks in a year (2.4.A1a), e.g., John spent 59 days in New York City. How many weeks did he stay in New York City?
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3.2.A1F
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months in a year and minutes in an hour (2.4.A1a), e.g., it took Susan 180 minutes to complete her homework assignment. How many hours did she spend doing homework?
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3.2.A1G
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perimeter of squares, rectangles, and triangles (2.4.A1g), e.g., Mark wants to put up a fence up in his rectangle-shaped back yard. If his yard measures 18 feet by 36 feet, how many feet of fence will he need to go around his yard?
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3.2.A1H
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area of squares and rectangles (2.4.A1g), e.g., a farmer's square-shaped field is 35 feet on each side. How many square feet does he have to plow?
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3.2.K1
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determines and uses whole number approximations (estimations) for length, width, weight, volume, temperature, time, perimeter, and area using standard and nonstandard units of measure (2.4.K1a) ($).
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3.2.K2
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selects, explains the selection of, and uses measurement tools, units of measure, and degree of accuracy appropriate for a given situation to measure length, width, weight, volume, temperature, time, perimeter, and area using (2.4.K1a) ($):
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3.2.K2A
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customary units of measure to the nearest fourth and eighth inch,
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3.2.K2B
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metric units of measure to the nearest centimeter,
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3.2.K2C
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nonstandard units of measure to the nearest whole unit,
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3.2.K2D
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time including elapsed time.
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3.2.A2
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solves real-world problems that involve conversions within the same measurement system: inches and feet, feet and yards, inches and yards, cups and pints, pints and quarts, quarts and gallons, centimeters and meters (2.4.A1a), e.g., you estimate that each person will chew 6 inches of bubblegum tape. If each package has 9 feet of bubblegum tape, how many people will get gum from that package?
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3.2.A3
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estimates to check whether or not measurements or calculations for length, weight, temperature, time, perimeter, and area in real-world problems are reasonable (2.4.A1a) ($), e.g. is it reasonable to say you need 30 mL of water to fill a fish tank or would you need 30 L of water to fill the fish tank?
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3.2.K3
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states the number of feet and yards in a mile (2.4.K1a).
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3.2.K4
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converts (2.4.K1a):
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3.2.K4A
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within the customary system: inches and feet, feet and yards, inches and yards, cups and pints, pints and quarts, quarts and gallons, pounds and ounces;
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3.2.K4B
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within the metric system: centimeters and meters, meters and kilometers, milliliters and liters, grams and kilograms.
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3.2.A4
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adjusts original measurement or estimation for length, width, weight, volume, temperature, time, and perimeter in real-world problems based on additional information (a frame of reference) (2.4.A1a,g) ($), e.g., after estimating the outside temperature to be 75º F, you find out that yesterday’s high temperature at 3 p.m. was 62º. Should you adjust your estimate? Why or why not?
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3.2.K5
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knows and uses perimeter and area formulas for squares and rectangles (2.4.K1g).
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3.3
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The student recognizes and performs transformations on geomentric shapes including the use of concrete objects in a variety of situations.
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3.3.A1
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describes and draws a two-dimensional figure after performing one transformation (reflection, rotation, translation) (2.4.A1a).
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3.3.K1
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recognizes and performs through two transformations (reflection, rotation, translation) on a two-dimensional figure (2.4.K1a).
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3.3.K2
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recognizes when an object is reduced or enlarged (2.4.K1a).
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3.3.A2
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makes scale drawings of two-dimensional figures using a simple scale and grid paper (2.4.A1h), e.g., using the scale 1 cm = 3 m, the student makes a scale drawing of the classroom.
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3.3.K3
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recognizes three-dimensional figures (rectangular prisms, cylinders, cones, spheres, triangular prisms, rectangular pyramids) from various perspectives (top, bottom, side, corners) (2.4.K1g).
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3.4
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The student relates geometric concepts to a number line and the first quadrant of a coordinate plane in a variety of situations.
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3.4.A1
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solves real-world problems that involve distance and location using coordinate planes (coordinate grids) and map grids with positive whole number and letter coordinates (2.4.A1a), e.g., identifying locations and giving and following directions to move from one location to another.
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3.4.K1
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locates and plots points on a number line (vertical/horizontal) using integers (positive and negative whole numbers) (2.4.K1a).
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3.4.K2
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explains mathematical relationships between whole numbers, fractions, and decimals and where they appear on a number line (2.4.K1a).
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3.4.A2
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solves real-world problems by plotting ordered pairs in the first quadrant of a coordinate plane (coordinate grid) (2.4.A1a) ($) , e.g., graph daily the cumulative number of recess minutes in a 5-day school week.
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3.4.K3
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identifies and plots points as ordered pairs in the first quadrant of a coordinate plane (coordinate grid) (2.4.K1a).
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3.4.K4
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organizes whole number data using a T-table and plots the ordered pairs in the first quadrant of a coordinate plane (coordinate grid) (2.4.K1a, f).
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