The Week AheadCheck out what's happening in ...
Elizabeth Keleshian Steven True February 27, 2017
Elements of MathThis week we will prepare for our test next Thursday on fraction operations. We will review addition, subtraction, multiplication, and division of fractions. It’s time to muster up all the fraction knowledge that we’ve been building up for the last 4 months Homework due Tuesday: Practice Test Error Analysis Homework due Thursday: Study for Test Problem Solving and Reasoning:This week we will prepare for our test next Thursday on proportions and ratios. We will review equivalent ratios, proportions, scale factors, and their use in single point perspective drawing. It’s time to muster up all the knowledge that we’ve been building up for the two months! Homework due Tuesday: Practice Test Error Analysis Homework due Thursday: Study for Test Algebraic Thinking:This week we will prepare for our test next Thursday on proportions and linear functions. We will review, proportions, linear functions, and lines of best fit. It’s time to muster up all the fraction knowledge that we’ve been building up for the two months! Homework due Tuesday: Practice Test Error Analysis Homework due Thursday: Study for Test Ms Keleshian Logic, Sets, and SequencesLast week, we learned various algebraic properties that helped us solve 2-step equations. These terms included the inverse property of addition/multiplication, identity property of addition/multiplication, and symmetry property of equality. This week, we will continue to build fluency in solving 2-step equations. How do we manipulate equations legally (i.e. with our known laws and properties) in a way that isolates the variable? Manipulating equations can be tricky, especially when it involves fractions and negative numbers. Therefore, we will practice, practice, and practice. There will be a fun twist to our practice sessions, though. I want to make it a surprise, but *hint* it involves solving a mystery. Furthermore, you will take a quiz on Thursday, that will include solving 2-step equations and simplifying algebraic expressions by combining like terms and/or applying the distributive property. Homework: Sprints Round 1 and 2 due Tuesday and Error Analysis due Thursday Equality and Equivalence RelationsLast week, we conducted experiments with m&m’s and coins to discover exponential growth and decay. We also briefly looked the general form of exponential functions y = abkx+c, where a0, b>0, and k0. We will continue where we left off on Friday, which was analyzing the different components of this form. In other words, how does the curve of an exponential function get affected when you change the value of a, b, k, or c? Furthermore, we will continue to practice simplifying exponential and radical expressions by applying the law of exponents. Be prepared for a quiz on Thursday that will cover the following topics: simplifying expressions using law of exponents, re-writing expressions in radical form, and exponential functions. Homework: Sprints Round 1 and 2 due Tuesday and Error Analysis due Thursday Forms and FunctionsLast week, you investigated visual models of completing the square of a quadratic equation. You all noticed a certain pattern and generated a formula, i.e. to complete the square, you need (b2)2 unit tiles and to express the area of this square in the form of a product of the dimensions, you get (x+b2)2 = -c. You then were able to find roots by taking the square root of the left side of equation above. This week, we will continue to work on our fluency with completing the square. Furthermore, this skill is a perfect segway to introducing the vertex form of a quadratic function. Be prepared for a quiz on Thursday that will cover the following topics: completing the square and finding roots using the square root method. Homework: Sprints Round 1 and 2 due Tuesday and Error Analysis due Thursday Algebraic ThinkingLast week, we interpreted the equation y = mx+b in the context of different gym membership bundles. Suddenly, parts of this formula, which are all abstract variables and operations, were attached to real, contextual things that enabled you to make better meaning of slope, y-intercept, inputs, and outputs. This week, we will start looking at point-slope form and standard form of linear functions. What information is needed when writing a linear function in either of these forms? What information is not needed? When would either of these forms be useful? Be prepared to take a quiz on Thursday that will cover the following topics: finding slope, writing a linear function in slope-intercept, point-slope, and standard form based on a graph or table. Homework: Sprints Round 1 and 2 due Tuesday and Error Analysis due Thursday
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