#### Sixth Grade Programs by Subject

Sixth Grade Activities          Freedom Elementary's Computer Lab. Dr. Walton, teacher. Links are subject to change weekly.

Math

 Concept & Month taught Alpine District/State Objective Starred (*) objectives, every 6th grader must know. Blue objectives were added by Northridge teachers. Learn Practice Quiz/Test Review August September *Pass times tables test to the 12's The 12 Times Tables Multiplication Facts *Demonstrate a working math vocabulary Math 6 Spy Guy Glossary *Show place value (counting, reading, and writing to  1 billion) Place Value 1 Place Value Represent rational numbers August September Recognize a rational number as a ratio of two integers, a to b, where b is not equal to zero. *Change whole numbers with exponents to standard form (e.g., 2^4=16) and recognize that any non-zero whole number to the zero power equals 1 (e.g., 9^0 = 1). Exponents - 1st half of lesson Exponent UTIPs  - Exponents *Write a whole number in expanded form using exponents (e.g., 876,539=8x10^5 + 7x10^4 + 6x10^3 + 5x10^2 + 3x10^1+ 9x10^0). *Demonstrate an understanding of Square numbers Number Cop - Other Games - Perfect Squares *Express numbers in scientific notation using positive powers of ten. Place Value - Scientific Notation Relation- ships and equivalen- cies among rational numbers August September Place rational numbers on the number line. *Compare and order rational numbers, including positive and negative mixed fractions and decimals, using a variety of methods and symbols, including the number line and finding common denominators. Spy Guy - Understanding Integers Comparing Fractions - Fact Sheet Fractions - Ordering - Fractions Fractions - Ordering - Decimals Fraction Inequality Ordering Six Digit Numbers Comparing Fractions Games Fraction Sorter Comparing Decimals Comparing Fractions Find equivalent forms for common fractions, decimals, percents, and ratios, including repeating or terminating decimals. Decifractator Simplify fractions, decimals, percent, and ratios. Relate percents less than 1% or greater than 100% to equivalent fractions, decimals, whole numbers, and mixed numbers. Spy Guy - Improper Fractions and Mixed Numbers Recognize that the sum of an integer and its addtitive inverse is zero. Prime factoriza- tions least common multiples greatest common factors August September *Determine whether whole numbers to 100 are prime, composite, or neither. Eratosthenes' Sieve Prime and Composite Numbers Number Cop - Other Games - Prime Numbers *Find the prime factorization of composite numbers to 100. Spy Guy - Factors, Multiples, and Prime Factorization *Find the greatest common factor and least common multiple for two numbers using a variety of methods (e.g., list of multiples, prime factorization.) Greatest Common Factor Least Common Multiple Least Common Multiple Greatest Common Factor Rags to Riches Money August September *Use Money (counting, comparing and making change) Money   Fun Brain - Making Change Math Playground - Making Change Operations October to May Relate fractions to multiplication and division and use this relationship to explain procedures for multiplying and dividing fractions. Recognize the ratios derived from pairs of rows in the multiplication table and connect with equivalent fractions. March Give mixed number and decimal solutions to division problems with whole numbers. Solve problems with multiple steps October to May Select appropriate methods to solve a multi-step problem involving multiplication and division of fractions and decimals. Spy Guy - Lottery Tickets *Use estimation to determine whether results obtained using a calculator are reasonable. Estimating Percentages *Use estimation of calculation to compute results, depending on the context and numbers involved in the problem. Spy Guy - Rounding Comparison Estimator Fermi Questions Library * Define, read, and write ratios.  March Spy Guy - Ratio Ratios Determining Ratios *Solve problems involving ratios and proportions (and find % of numbers). March Ratios and Proportions Ratio and Proportion Proportion Method Spy Guy - Percents Rags to Riches - Ratios and Proportions Troy's Toys Proficiency of four operations Addition and Subtraction of integers October to May *Add, subtract, multiply, and divide whole numbers. Arithmetic Addition and Subtraction Multiplication Disaster Math *Add, subtract, multiply, and divide decimals. Decimals Spy Guy - Decimals Fractions and Decimals Spy Guy - Solving Problems with Decimals Multiplying with Decimals *Multiply and divide a multi-digit number by a two-digit number, including decimals Fractions and Decimals *Add, subtract, multiply, and divide fractions and mixed numbers. Fractions Multiply Fractions with circles Fractions and Decimals Adding Fractions - Same Denominator Adding Fractions - Mixed Denominator Subtracting Fractions - Same Denominator    Multiplying Fractions Divide Fractions with circles *Add and subtract integers. How to Add and Subtract Postive and Negative Numbers Adding and Subtracting Integers Gizmo Virtual Dice - +/- Dice Adding and Subtracting Integers Patterns relations and algebraic expressions August to May *Analyze algebraic expressions, tables, and graphs to determine patterns, relations, and rules. Spy Guy - Summarizing/ Extending Patterns Algebra Puzzle Spy Guy - Handshakes *Describe simple relationships by creating and analyzing tables, equations, and expressions. *Draw a graph and write an equation from a table of values. Spy Guy - Understanding and Interpreting Graphs *Draw a graph and create a table of values from an equation. Problem Solving August to May *Demonstrate knowledge of properties of multiplication and addition. *Demonstrate knowledge of Order of operations (PEMDAS) Exploring Order of Opera- tions Order of Operations Tutor- ial Math Frog - Order of Opera- tions Order of Operations Pretest APlus Math Worksheet Solve single variable linear equations using a variety of strategies. Linear Function Recognize that expressions in different forms can be equivalent and rewrite an expression to represent a quantity in a different way. Spy Guy - Balancing Equations *Evaluate and simplify expressions and formulas, substituting given values for the variables (e.g., 2x + 4; x=2; therefore, 2 (2) + 4 = 8). Algebra - Solve (y)  Solve (x) Geometric Shapes December to May *Identify, classify, and measure planes and solid figures. Pete's Polygons Polygons Shapes Identify the midpoint of a line segment and the center and circumference of a circle. *Identify angles as vertical, adjacent, complemetary, or supplementary and provide descriptions of these terms. Angles and Types of Angles Classifying Angles *Develop and use the properties of complementary and supplementary angles and the sum of the angles of a triangle to solve problems involving an unknown angle in a triangle or quadrilateral. Angles - Triangle Transform- ing geometric shapes December to May *Rotate a polygon about the origin by a multiple of 90 degrees and identify the location of the new vertices. (Turn) Transformations - scroll down Transformations Tutorial Playing with Rotations *Translate a polygon either horizontally or vertically on a coordinate grid and identify the location of the new vertices. (Slide) Transformations - scroll down Spy Guy - Slides and Flips Playing with Translations Reflect a polygon across either the x- or y-axis and identify the location of the new vertices. (Flip) Transformations - scroll down Spy Guy - Slides and Flips Playing with Reflections Measure: Circum- ference and area of a circle February *Explore the relationship between the radius and diameter of a circle to the circle's circumference to develop the formula for circumference. *Find the circumference of a circle using a formula. Describe pi as the ratio of the circumference to the diameter of a circle. Decompose a circle into a number of wedges and rearrange the wedges into a shape that approximates a parallelogram to develop the formula for the area of a circle. *Find the area of a circle using a formula. Spy Guy - Area and Perimeter Geometry - Area - Circle Units of Measure- ment February Recognize that measurements are approximations and describe how the size of the unit used in measuring affects the precision. Measure *Convert units of measurement within the metric system and convert units of measurement within the customary system. Teaching Measures - metric Length, Weight, Capacticy - metric Factsheet Equivalent Customary Measures Length, Weight, Capacity - metric Length, Weight Capacity - metric Compare a meter to a yard, a liter to a quart, and a kilometer to a mile. Determine when it is appropriate to estimate or use precise measurement when solving problems. *Derive and use the formula to determine the surface area and volume of a cylinder. Spy Guy Volume - rectangular prism Geometry - Surface - Cylinder         Click on: See Formulas Geometry - Volume - Cylinder         Click on: See Formulas Time - Accuraely measure and estimate Time Data Analysis April Design investigations to answer questions. *Extend data display and comparisons to include scatter plots and circle graphs. Reading Percentages in Charts Pie Chart Scatter Plot Compare two similar sets of data on the same graph and compare two graphs representing the same set of data. Maths - Interpreting Data Maths - Interpreting Data Recognize that changing the scale influences the appearance of a display of data. Bar Chart *Propose and justify inferences and predictions based on data. Probability April *Write the results of a probability experiment as a fraction  between zero and one, or an equivalent percent. Spy Guy - Probability Probability *Compare experimental results with theoretical results (e.g., experimental: 7 out of 10 tails; whereas, theoretical 5 out of 10 tails.) Compare individual, small group, and large group results of a probability experiment in order to more accurately estimate the actual probabilities. Chances Coin Tossing Stick or Switch Virtual Dice