5th+Grade+Math

[|www.brainpop.com] [|www.edhelper.com] [|www.sumdog.com] www.tenmarks.com || 3. Problem solving || * Identify the base given the height of a triangle.
 * ~ Unit ||~ Start Date (duration) ||~ Essential Questions ||~ Content / Concepts ||~ Skills ||~ Texts ||~ Supporting / Supplementary Materials ||
 * 1 Whole Numbers || August/September || * Whole numbers can be written in different ways. Numbers can be compared and rounded, according to their place value. || # Numbers to 10,000,000
 * 1) Place Value
 * 2) Comparing Numbers to 10,000,000
 * 3) Rounding and Estimating || * Count by ten thousands and hundred thousands to 10,000,000
 * Use place-value charts to show numbers to 10,000,000
 * Read and write numbers to 10,000,000 in standard form and in word form.
 * Identify the place value of any digit in numbers to 10,000,000.
 * Read and write numbers to 10,000,000 in expanded form.
 * Compare and order numbers to 10,000,000.
 * Identify and complete a number pattern.
 * Find a rule for a number pattern.
 * Round numbers to the nearest thousand.
 * Locate numbers on a number line.
 * Use rounding to estimate or check sums, differences, and products.
 * Use related multiplication facts to estimate quotients.
 * || __Math in Focus__ Singapore Math by Marshall Cavendish, __Math in Focus__ student workbook || For All Units:
 * 2 Whole Number Multiplication and Division || September/October || * Patterns can be used to help you multiply and divide numbers.
 * Numeric expressions can be simplified using the order of operations.
 * Multiplication and division can be used to solve real world problems. || # Using a calculator
 * 1) Multiplying by Tens, Hundreds, or Thousands
 * 2) Multiplying by 2-digit Numbers
 * 3) Dividing by Tens, Hundreds, or THousands
 * 4) Dividing by 2-digit numbers
 * 5) Order of Operations
 * 6) Real-World problems: Multiplication and Division || * Use a calculator to add, subtract, multiply and divide whole numbers.
 * Multiply numbers by 10, 100, 1000.
 * Multiply numbers up to 4 digits by multiples of 10, 100, or 1000.
 * Use rounding to estimate products.
 * Multiply a 2-, 3-, or 4-digit number by a 2-digit number.
 * Divide numbers by 10, 100, or 1000 using patterns.
 * Divide numbers up to 4 digits by multiples of 10, 100, or 1,000.
 * Use rounding and related multiplication facts to estimate quotients.
 * Divide a 2-, 3-, or 4-digit number by a 2-digit number.
 * use order of operations to simplify a numeric expression.
 * Use efficient strategies to solve multi-step problems involving multiplication and division.
 * Express and interpret the product or quotient appropriately.
 * Identify patterns and relationships. ||  ||   ||
 * 3 Fractions and Mixed Numbers || October/November || * Add and subtract unlike fractions and mixed numbers by rewriting them with like denominators. || # Adding unlike fractions
 * 1) Subtracting unlike fractions
 * 2) Fractions, Mixed Numbers, and Division Expressions
 * 3) Expressing Fractions, Division Expressions, and Mixed Numbers as Decimals
 * 4) Adding Mixed Numbers
 * 5) Subtracting Mixed Numbers
 * 6) Real-World problems: Fractions and Mixed Numbers || * Add two unlike fractions where one denominator is not a multiple of the other.
 * Estimate sums of fractions.
 * Subtract two unlike fractions where one denominator is not a multiple of the other.
 * Estimate differences between fractions.
 * Understand and apply the relationships between fractions, mixed numbers, and division expressions.
 * Express fractions, division expressions, and mixed numbers as decimals.
 * Add mixed numbers with or without renaming.
 * Estimate sums of mixed numbers.
 * Subtract mixed numbers with or without renaming.
 * Estimate differences between mixed numbers.
 * Solve real-world problems involving fractions and mixed numbers.
 * Analyzing parts and whole
 * Using a model
 * Use before-and-after concept ||  ||   ||
 * 4 Multiplying and Dividing Fractions and Mixed Numbers || November/December || * Whole numbers, fractions, and mixed numbers can be multiplied or divided in any combination. || # Multiplying proper fractions
 * 1) Real-world problems: Multiplying with proper fractions
 * 2) Multiplying improper fractions by fractions
 * 3) Multiplying mixed numbers and whole numbers
 * 4) Real-world problems: Multiplying with mixed numbers
 * 5) Dividing a fraction by a whole number
 * 6) Real-world problems: Multiplying and Dividing with fractions || * Multiply proper fractions
 * Solve real-world problems involving multiplication of proper fractions
 * Multiply imporper fractions by proper or improper fractions
 * Multiply improper fractions by proper or improper fractions.
 * Multiply a mixed number by a whole number
 * Solve real-world problems involving multiplication of whole numbers and mixed numbers.
 * Divide a fraction by a whole number
 * Solve real world problems involving multiplication and division in fractions. ||  ||   ||
 * 5 Algebra || December/January || * Algebraic expressions can be used to describe situations and solve real-world problems. || # Using letters as numbers
 * 1) Simplifying algebraic expressions
 * 2) Inequalities and equations
 * 3) Real-world problems-Algebra || * Recognize, write and evaluate simple algebraic expressions in one variable.
 * Simplify algebraic expressions in one variable.
 * Write and evaluate inequalities.
 * Solve simple equations.
 * Solve real-world problems involving algebraic expressions. ||  ||   ||
 * 6 Area of a Triangle || January/February || * Base and height are measurements that are used to find the area of a triangle || # Base and height of a triangle
 * 1) Finding the area of a triangle
 * Identify the height given the base of a triangle.
 * Find the base of a triangle given its base and its height.
 * spatial visualization
 * looking for patterns ||  ||   ||
 * 7 Ratio || February/March || * Two numbers can be compared by subtraction. Two or more numbers or quantities can also be compared by division and the comparison expressed as a ratio. || # Finding ratio
 * 1) Equivalent ratios
 * 2) Real-world problems: Ratios
 * 3) Ratio in fraction form
 * 4) Comparing three quantities
 * 5) Real-world problems: More ratios || * Read and write ratios
 * Find equivalent ratios.
 * Solve real-world problems involving ratios.
 * Interpret ratios given in fraction form.
 * Write ratios in fraction form to find how many times as large as one number another number is.
 * Read and write ratios with three quantities.
 * Express equivalent ratios with three quantities.
 * Solve real-world problems involving ratios and fractions.
 * Solve real-world problems involving ratios with three quantities.
 * Comparing ||  ||   ||
 * 8 Decimals || March || * Thousandths can be represented with three decimal places or as fractions || # Understanding thousandths
 * 1) Comparing and rounding decimals
 * 2) Rewriting Decimals as fractions and Mixed Numbers || * Read and write thousandths in decimal and fractional forms.
 * Represent and interpret thousandths in models or in place-value charts.
 * Write a fraction with denominator 1000 as a decimal
 * Compare and order decimals to 3 decimal places.
 * Round decimals to the nearest hundredth.
 * Rewrite decimals as fractions and mixed numbers in simplest form. ||  ||   ||
 * 9 Multiplying and dividing decimals || April || * Decimals can be multiplied and divided in the same way as whole numbers. || # Multiplying Decimals
 * 1) Multiplying by tens, hundreds, and thousands
 * 2) Dividing decimals
 * 3) Dividing by tens, hundreds, and thousands
 * 4) Estimating decimals
 * 5) Real-world Problems: Decimals || * Multiply tenths and hundredths by a 1-digit number.
 * Multiply tenths and hundredths by 10, 100, and 1000
 * Multiply tenths and hundredths by multiples of 10, 100, and 1000
 * Estimate decimal sums, differences, products and quotients.
 * Solve real-world problems involving decimals ||  ||   ||
 * 10 Percent || May || * Percent is another way of expressing a part of a whole. Percent means "out of 100". || # Percent
 * 1) Expressing fractions as percents
 * 2) Percent of a number
 * 3) Real-world problems: Percent || * Relate and compare percents, decimals, and fractions.
 * Express fractions as percents.
 * Use different ways to find the number represented by a percent.
 * Solve real-world problems involving percents. ||  ||   ||
 * 11 Graphs and Probability || May/June || * Displaying data in a graph highlights some features of the data. Probability measures the likelihood of an event occurring. || # Making and Interpreting Double Bar Graphs
 * 1) Graphing an Equation
 * 2) Combinations
 * 3) Combinations || * Make and interpret a double bar graph.
 * Read points on a coordinate grid.
 * Plot points on a coordinate grid.
 * Graph an equation.
 * List and count all possible combinations.
 * Draw a tree diagram to show all possible combinations.
 * Use multiplication to find the number of combinations.
 * Find the experimental probability of an outcome.
 * Compare the results of an experiment with the theoretical probability. ||  ||   ||