Grade 3 Math. Quarter Content and Essential Questions Skills Assessment. School District #158. Numeration

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1 School District #158 Grade 3 Math Quarter 1 Numeration Review kinds and uses of numbers (D) 6A.1 Review place value to four digits (D) 6A.1 Review the idea that there are many names for a number (D) 6A.2 Review calculator skills: adding, subtracting, skip counting up and back; and to practice place value skills (D) 6C. 3 8A.2 8A.5 Review ways in which basic addition and subtraction facts are used to solve problems using larger numbers (D) 6B.3 6B.7 6C.2 8A.5 Practice solving basic addition and subtraction facts until mastered (D) 6B.3 Choose from the following assessments for all content strands Teacher Observations Daily Work Games Unit Assessments Computation and Operation Review how to tell time (D) 7A.4 Review how to identify two-dimensional shapes (D) 9A.2 9A.3 Identify number grid patterns and use them to find differences between pairs of numbers (D) 6C.2 8A.1 Solve problems involving money with coins; write dollars and cents notation and compare amounts of money (D) 6A.5 6D. 1 7C.4 Review fact families and number families: review the relationship between addition and subtraction (D) 6B.3 6B.7 8A.4 Analyze basic word problems and identify key words (D) 6C.2 6C.4 Use diagrams to solve change number stories (D) 6C.4 8A.5 8B.1 8B.2 8D.1 Use parts and total diagrams to solve parts and total number stories (D) 6C.4 8A.5 8B.1 8D.1 Use comparison diagrams to help solve comparison number stories (D) 6A.1 6C.4 1

2 8A.5 8B.1 8D.1 Review and estimate the partial sums algorithm for adding two digit numbers and extend the algorithm to three digit numbers (D) 6A.2 6B.7 6C.1 6C.3 6C.5 8A.3 Review and estimate the trade first algorithm for subtracting two digit numbers and extend the algorithm to three digit numbers (D) 6A.2 6B.7 6C.1 6C.3 6C.5 8A.3 Review addition number stories involving three or more addends (D) 6A.2 6B.7 Data Review data concepts: collect data, make tally charts, and bar graphs (D) 8B.1 8B.2 10A.2 10A.3 Patterns, Functions, and Algebra Explore number patterns (D) 8A.2 8B.1 Use calculator to find differences between a number and a multiple of ten (D) 6C.3 Measurement and Reference Frames Use clocks to show elapsed time (D) 7C.2 Review polygons, measure sides of polygons and find perimeters and draw shapes with the given perimeter (D) 7A.1 7A.2 7A.5 Explore the need for standard units of measure and create a unit of length and measure with it (D) 7A.1 7A.2 Choose the appropriate measuring tool and unit for a situation (D) 7C.1 8D.2 Read a ruler to the nearest inch, half-inch and quarter-inch (D) 7C.1 Review US customary and metric units of length: estimate and measure lengths to the nearest quarter inch and nearest centimeter (D) 7A.2 7C.1 2

3 Quarter 2 Operations and Computation Practice basic multiplication and division facts (D) 6B.3 6B.4 6B.6 8C.1 Calculate with money (D) 6C.3 Measure with millimeters (D) 7A.2 Use differences and ratios to compare large numbers (D) 6A.1 6C.2 6D.1 Compute with large numbers (D) 6A.1 6C.2 Review multiplication and equal groups (D) 6B.1 6B.2 6B.6 Solve and write multiplication number stories involving equal groups (D) 6B.1 6B.2 6B.3 6B.5 Use arrays to represent multiples of equal groups (D) 8A.1 8A.2 Review division as equal sharing and equal grouping (D) 6B.1 6B.2 6B.3 Solve equal sharing and equal sharing number stories (D) 6B.5 Begin to solve math exemplars and write extended responses to explain their thought process (I) 6B.5 6C.5 9C.1 Patterns, Functions, and Algebra Form arrays with counters and draw pictures of arrays (D) 8A.1 8A.2 Reinforce inverse relationships between multiplication and division (D) 8A.4 Simulate shopping trips to practice calculating with money (D) 7C.4 8D.1 Estimate numbers in large arrays (D) 8A.1 8A.2 Write number models to find areas of rectangles (D) 7A.4 7A.6 8A.5 Solve number problems (D) 6B.5 6C.5 8A.5 Write number models for multiplication and division number stories (D) 6B.5 6C.5 8A.5 Look for patterns on multiplication facts table (D) 6B.3 8B.1 Fill in missing numbers on a number line (D) 8B.1 3

4 Look for patterns on a hundred number grid (D) 6C.2 8A.1 Geometry Make all possible triangles from three sizes of straws (D) 9A.2 9A.3 Explore and measure center circumference and diameter of circles (D) 7A.4 Make rectangles of given perimeters (D) 7A.5 7C.3 9A.2 9A.3 Explore area (D) 7A.4 7A.6 7C.1 Review meaning of area and perimeters (D) 7A.5 7A.6 Develop "about three times" rule relating circumference and diameter (D) 8D.1 Measure line segments to the nearest half, quarter, or eighth of an inch (I) 7A.2 7A.4 Measure perimeters of polygons (D) 7A. 5 7B.2 Draw figures with given perimeters (D) 7A.5 7B.2 Compare the perimeters and areas of four different shaped polygons (D) 7A.5 7A.6 Numeration Read and write numbers through millions (D) 6A.1 Read, write, and compare large numbers (D) 6A.1 Practice modeling and naming decimals with base-ten blocks (D) 6A.1 6A.5 Extend decimal notation to tenths and hundredths (D) 6A.1 6A.5 Exchange between tenths and hundredths (D) 6A.1 6A.5 Compare and order decimals shown on grids (D) 6A.1 6A.5 Use decimals to explore notation comparison and conversion for metric measures (D) 6A.5 7B.1 Extend place value to thousandths (D) 6A.1 4

5 6A.5 Measurement and Reference Frames Convert from centimeters to meters (D) 7A.3 Quarter 3 Geometry Review line segments (D) 9A.1 Introduce rays and lines (I) 9A.1 Model parallel and intersecting pairs of lines, rays, and segments (D) 9A.1 Model angles and turns (D) 9A.1 Review properties of triangles (D) 9A.2 9A.3 Construct triangles (D) 9A.2 9A.3 Model and construct polygons (D) 9A.2 9A.3 Model and construct quadrangles (D) 9A.2 9A.3 Discover meaning and properties of symmetry (D) 9B.5 9B.6 Introduce congruence (D) 9B.2 9B.3 Identify five basic three dimensional shapes (D) 9B.1 Construct models of a pyramid and a prism and identify their bases (D) 9B.1 9B.4 Construct and classify prisms (D) 9B.4 Investigate the relationship between area and lengths of sides in rectangles and squares using geoboards (D) 7A.6 7B.1 Choose from the following assessments for all content strands Teacher Observations Daily Work Games Unit Assessments Measurement and Reference Frames Measure the sides of a triangle to the nearest quarter inch and estimate perimeter (D) 7B.2 Measure the sides of a quadrangle to the nearest half-inch and estimate the perimeter (D) 7B.2 Measure the sides of a polygon to the nearest half centimeter and estimate the perimeter (D) 7B.2 Introduce degree as a unit of measure for 5

6 turns (D) 9A.2 Numeration Review basic fraction concepts and notation (D) 6A.3 6A.4 Name fractional parts of regions and sets of objects (D) 6A.3 6A.4 Identify equivalent fractions (D) 6A.3 6A.4 Compare fractions to one-half, zero, and one (D) 6A.3 6A.4 Naming numbers of fractional parts as fractions and mixed numbers (D) 6A.3 6A.4 Operations and Computation Practice and extend multiplication and division facts (D) 6B.3 6B.4 6B.6 8C.1 Solve problems with parentheses (D) 6A.1 6C.4 Compare estimated cost to exact cost (D) 6C.5 Solve and explain solutions to ratio problems (D) 6D.1 Solve number stories with fractions (D) 6A.4 Find products and quotients with multiples of ten, one hundred, and one thousand(d) 6B.6 Multiplying one digit numbers by multidigit numbers(d) 6B.6 Model multiplication with base ten blocks(d) 6C.2 Solve problems with cost of multiple items(d) 8D.1 Identify and find factors using arrays(d) 8A.1 8A.2 Solve equal sharing problems involving money(d) 6B.2 6B.3 7C.4 6

7 Quarter 4 Numeration Relate numbers to a zero point (D) 6A.1 Identify uses of positive and negative numbers (D) 6A.1 Solve number stories about positive and negative numbers (D) 6A.1 Write the values of digits in a place value chart (D) 6A.1 Fill in missing numbers on a number line (D) 6A.1 Name fractional areas (D) 6A.4 Write fractions and mixed numbers from dictation (D) 6A.4 Solve number stories of measurement and elapsed time (D) 6C.1 7C.2 Choose from the following assessments for all content strands Teacher Observations Daily Work Games Unit Assessments Operation and Computation Solve division number stories with remainders; express remainders as fractions (D) 6B.2 6B.5 6A.4 Multiply multi-digit numbers (D) 6B.6 Solve problems using metric units of weight (D) 7A.4 Find products of two and three digit numbers by one digit numbers (D) 6B.2 Solve number stories involving two or more operations (D) 6C.2 6C.4 Estimate solutions for addition and subtraction problems (D) 6B.7 Solve number models containing parentheses (D) 6A.1 6C.4 Plot points on a coordinate grid (D) 9A.1 Patterns, Functions, and Algebra Find number patterns by filling equilateral triangles with smaller equilateral triangles (D) 9A.2 Express fractions of a turn using a circle marked in degrees (D) 6A.4 7

8 Geometry Practice making angles of specified measure (D) 9A.2 Use a model to review bases and height of a rectangular prism (D) 9B.4 9B.5 Explore volume of rectangular prisms (D) 9B.4 9B.5 Measurement and Reference Frames Measure and draw pictures and line segments to the nearest half or quarter inch or half centimeter (D) 7A.2 Review units of length (D) 7A.1 Measure sides, find areas of rectangles, use a scale drawing (D) 7A.4 Explore volume (D) 7A.4 Discuss weight, classify units and review equivalences between units (D) 7A.4 Study various kinds of scales with respect to capacity, precision, and use (D) 7A.4 Discuss appropriate scales for weighing different objects (D) 7A.4 Explore relationships between weight and volume (D) 7A.4 Demonstrate and discuss capacity equivalences (D) 7A.4 Select appropriate units to measure a variety of items (D) 7A.4 Data and Chance Solve measurement number stories (D) 6C.2 7A.2 Solve elapsed time number stories (D) 6C.2 7C.2 Mark lengths on a ruler (D) 7A.4 Make a bar graph and a frequency table (D) 8B.1 8B.2 10A.2 Find mean, median, and mode (D) 10A.3 10A.4 Compare mean and median (D) 10A.3 10A.4 Make predictions based on outcomes (D) 8

9 10A.1 10C.1 10C.2 10C.3 10C.4 10C.5 Analyze survey data and make predictions based on data (D) 10B1 Organize and display data to make it easier to interpret (D) 10B.2 9

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