Time: School Year Unit: Operations & Algebraic Thinking (Page 1 of 2)

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1 Time: School Year Unit: Operations & Algebraic Thinking (Page 1 of 2) 3.1 Interpret products of whole numbers e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 x 7. *Draw arrays *Activity Cards Math Remembering Interpret whole-number quotients of whole numbers, e.g. interpret 56/8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number *Draw arrays *Fact of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as Families*Activity Cards 56/8 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 x? = 48, 5 = _/3, 6 x 6 =? *Math Mountains *Math Mountains*Comparision Bars Math Math Math Remembering Remembering Remembering Apply properties of operations as strategies to multiply and divide. Example: If 6 x 4 = 24 is known, then 4 x 6 is also know. (Commutative property of multiplication.) *Fact Families *Activity Cards Internet sites Teacher-made Quiz Apply properties of operations as strategies to multiply and divide. Example: 3 x 5 x 2 can be found by 3 x 5 = 15, then 15 x 2 = 30, or by 5 x 2 = 10, then 3 x 10 = 30. (Associative property of multiplication.) Activity Cards Internet sites Teacher-made Quiz Apply properties of operations as strategies to multiply and divide. Example: Knowing that 8 x 5 = 40 and 8 x 2 = 16, one can find 8 x 7 as 8 x (5 + 2) = (8 x 5) + (8 x 2) = = 56. (Distributive property) Draw arrays Internet sites Teacher-made Quiz 3.6 Understand division as an unknown-factor problem. For example, find 32/8 by finding the number that makes 32 when multiplied by 8. *Math Mountains *Fact Families *Draw arrays Math Remembering Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 x 5 = 40, one knows 40/5 = 8) or properties of operations. *Math Mountains *Fact Families *Draw arrays Math Remembering By the end of Grade 3, know from memory all products of two one-digit numbers. Flash Cards Student-made flash cards Timed Tests 3.8 Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. *Math Mountains *Comparision Bars *Arrays Math Remembering 3.8 Solve two-step word problems using the four operations. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. *Math Mountains *Comparision Bars *Arrays Math Remembering

2 Time: School Year Unit: Operations & Algebraic Thinking (Page 2 of 2) 3.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends. *Explore Hundreds Chart and Multiplication Table Hundreds Chart and Multiplication Table Teacher Observation

3 Time: School Year Unit: Number & Operations in Base Ten NO- 3.1 Use place value understanding to round whole numbers to the nearest 10 or 100. *Place-value drawings* Activitiy Cards Math Remembering NO- Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. *Place value drawings * Math Mountain drawings *Comparison Bar Drawings (Unit 1, Lessons 1-2 & Unit 3, Lessons 1 & 4) Math Remembering NO- 3.3 Multiply one-digit whole numbers by multiples of 10 in the range 10-90, (e.g.,n 9 x 80, 5 x 60) using strategies based on place value and properties of operations. Multiplication games (e.g. 9 x 80, 5 x 60) Internet Sites Quiz

4 Time: School year Unit: Number and Operations - Fractions F-3.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. Draw and label pictures F- Understand a fraction as a number on the number line. Draw number lines marking off lengths. Explain equivalence of fractions in special cases and compare fractions by reasoning about their size Draw and compare models. Show on a number line. Understand two fractions as equivalent if they are the same size, or the same point on the number line. Draw number lines and pictures. Recognize and generate simple equivalent fractions. Use fraction model to explain equivalent fractions. Express whole numbers as fractions and recognize fractions that are equivalent to whole numbers. Use number line to express 3 in the form of 3/1 etc. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Use visual fraction model ST Record the probability of an event. Predict future events. List all possible outcomes. Activity Cards

5 Time: School Year Unit: Measurement and Data MD3.1 Tell and write time to the nearest minute Use Clocks 3.1 Solve word problems in addition and subtrraction of time intervals in minutes on a number line. Use number lines to represent information. Measure and estimate liquid volumes and masses of objects using standard units of grams, kilograms and liters. Measure using Foss Science Kit Foss Science Kit Science Test and teacher observation Add, subtract, multiply, or divide to solve one step word problems involving masses or volumes. Use drawings to represent the problem. Foss Science Kit Science Test and teacher observation 3.3 Draw a scales picture graph and a scaled bar graph to represent a data set with several categories. Draw bar graphs. Social Studies - Teacher made materials Social Studies test and worksheets 3.4 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Make a horizontal line plot whole number, halves and quarters. Recognize area as an attribute of plane figures and understand concepts of area measurement. Use ruler for drawings. 3.6 Measure units by counting unit squares to find area. Use manipulatives to count square units. Relate area to the operations of multiplication and addition. Tile a rectangle and show answer would be the same if you multiply Show the distributive property of the area of a rectangle with whole number side lengths a and b+c is the sum of a x b and a x c Use tiles Apply properties of area to real world problems. Teacher activities 3.8 Solve real world and mathematical problems involving perimeters of polygons and finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters. Teacher activities

6 Time: School year Unit: Measurement and Data Content Goa Making change by counting up and subtraction. Use money. Finding value of a collection of coins. Represent money in different ways. Use money. Know how many inches in a foot, feet in a yard, ounces in a pound and quarts in a gallon. Use manipulatives. Measuring temperature-0 degrees Celcius, 32 degrees Fahrenheit = freezing; 100 degrees Celcius, 212 degrees Fahrenheit = boiling. Use thermometers. Foss Kits Teacher observation and Science test Finding elapsed time on a calendar. Use calendars.

7 Time: School Year Unit: Geometry G-3.1 Understand that plane figures share attributes. Look at pictures and compare. Activity cards G-3.1 Recognize rhombuses, rectangles, and square as examples of quadrialterals. Recognize polygons with 4, 5, 6 and 8 faces. Look at pictures and compare G-3.1 Draw examples of quadrilaterals that do not belong to rhumbuses, rectangles, and squares. Draw quadrilaterals and discuss why they do not belong G- Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. Divide shapes into fourths etc Identify three-dimensional figures: pyramid, rectangular prisms,rectangular pyramids, cones and spheres Solid figures. Identify symmetrical and congruent figures. Internet sites. Identify slides, flips and turns. Internet sites. Identify parallel and perpendicular lines, points, line segments and lines. Use Kid Pix/Tux Paint to draw and label.

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