Sixth Grade DAILY MATH

Transcription

1 Sixth Grade DAILY MATH 45+ page Resource Pack 100% Common Core Aligned. Designed to be used for the first 9 weeks of school. 9 Weeks of Cumulative Daily Review to prepare for your 6 th grade Math Common Core Standardized Tests

2 Daily Work/Morning Work This is a resource packet full of45+ pages of morning work/daily work/homework. It was designed using sixth grade common core standards. It is designed to be used during the first 9 weeks based on the Curriculum pacing guide. It is 100% aligned to the Common Core Standards. There are 9 weeks worth of work and by the end. These resources are a great review and each week focuses on the same skills in math. This daily work is effective and a great cumulative review before any standardized test. Please let me know if you have any questions or concerns and I will try to help out in any way. I hope you enjoy! Thank you! Questions: bushwr@troup.org This product has been tested and used as a daily review in multiple 6thgrade common core math classrooms and have been proven to be effective!

3 Sixth Grade Math Standards used in this packet come from each of the following domains: Number System Fluency Apply and extend previous understandings of multiplication and division to divide fractions by fractions. MCC6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. Compute fluently with multi-digit numbers and find common factors and multiples. MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm. MCC6.NS.3 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. MCC6.NS.4 Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers with a common factor as a multiple of a sum of two whole numbers with no common factor. Rate, Ratio and Proportional Reasoning Using Equivalent Fractions Understand ratio concepts and use ratio reasoning to solve problems. MCC6.RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. MCC6.RP.2 Understand the concept of a unit rate a/bassociated with a ratio a:bwith b 0 (b not equal to zero), and use rate language in the context of a ratio relationship. MCC6.RP.3 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. MCC6.RP.3a Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. MCC6.RP.3b Solve unit rate problems including those involving unit pricing and constant speed. MCC6.RP.3c Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole given a part and the percent. MCC6.RP.3d Use ratio reasoning to convert measurement units; manipulate and transform unitsunits appropriately when multiplying or dividing.

4 Sixth Grade Math Standards used in this packet come from each of the following domains: Expressions Apply and extend previous understandings of arithmetic to algebraic expressions. MCC6.EE.1 Write and evaluate numerical expressions involving whole-number exponents. MCC6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers. MCC6.EE.2a Write expressions that record operations with numbers and with letters standing for numbers. MCC6.EE.2b Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. MCC6.EE.2c Evaluate expressions at specific values for their variables. Include expressions that arise from formulas in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). MCC6.EE.3 Apply the properties of operations to generate equivalent expressions. MCC6.EE.4 Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). One-Step Equations and Inequalities Reason about and solve one-variable equations and inequalities. MCC6.EE.5 Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. MCC6.EE.6 Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. MCC6.EE.7 Solve real-world and mathematical problems by writing and solving equations of the form x+p=qand px=qfor cases in which p, q and x are all nonnegative rational numbers. MCC6.EE.8 Write an inequality of the form x>cor x<cto represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x>cor x<chave infinitely many solutions; represent solutions of such inequalities on number line diagrams. Represent and analyze quantitative relationships between dependent and independent variables. MCC6.EE.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. Understand ratio concepts and use ratio reasoning to solve problems. MCC6.RP.3 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. MCC6.RP.3a Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. MCC6.RP.3b Solve unit rate problems including those involving unit pricing and constant speed. MCC6.RP.3c Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole given a part and the percent. MCC6.RP.3d Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

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6 Name Bell Ringer Week 1 Day 1 No act of kindness, no matter how small, is ever wasted. Aesop (8 x 7) (81 9) ⅛ + ⅓ Round to the nearest tenth. What is x if: 6x = 18 60x = x = 1800 Write the following as a mathematical expression and solve: Divide one hundred forty-four by twelve, then add 326.

7 Name Bell Ringer Week 1 Day 2 No act of kindness, no matter how small, is ever wasted. Aesop Use <, >, or = ⅚ ⅝ What is x if: 34x = x (36 9) Underline the digit in the tenths place: What digit is 10 times the value of the underlined

8 Name Bell Ringer Week 1 Day 3 You have brains in your head. You have feet in your shoes. You can steer yourself, any direction you choose. Dr. Seuss 193 x x A recipe calls for ¼ cup of apples and ⅜ cup of peaches. How much total fruit will be used in the recipe? Add parentheses to make the equation true: 6 x 8 4 = 24

9 Name Bell Ringer Week 1 Day 4 You have brains in your head. You have feet in your shoes. You can steer yourself, any direction you choose. Dr. Seuss Write each fraction as a mixed number or whole number: 24/3 35/ Use <, >, or = to make the expression true Complete the following and explain the pattern: 15, 30, 45,,, 91 x 37

10 Name Bell Ringer Week 1 Day 5 You have brains in your head. You have feet in your shoes. You can steer yourself, any direction you choose. Dr. Seuss There are 24 students in the classroom. Each student wrote 16 spelling words. How many total spelling words were written? 2⅓ + 4⅖ Write the improper fractions as mixed or whole numbers: 28/3 36/4 Write the mixed numbers as improper fractions: 4⅔ 3⅞

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