- Athey Creek Middle
- Algebra Learning Targets
Kathleen Hunt
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Algebra 7 Learning Targets
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Review
- Introductory algebra
- https://youtu.be/tHYis-DP0oU – What is a variable?
- https://youtu.be/vDaIKB19TvY – Why don’t we use a “x” for multiplication now?
- https://youtu.be/AJNDeVt9UOo – Evaluating an expression with one variable
- https://youtu.be/640-86yn2wM – Writing basic algebra expressions
- https://youtu.be/C_KffdI34ZU – Writing algebra expressions from word problems
- Fractions
- https://youtu.be/OVMceVL_CEQ – Adding fractions with unlike denominators
- https://youtu.be/TuId1spuyoc – More examples of adding fractions
- https://youtu.be/N21Wh4Jqftc – Subtracting fractions with unlike denominators
- https://youtu.be/QS1LMomm0Gk – Adding fractions with different signs
- https://youtu.be/CTKMK1ZGLuk – Multiplying fractions
- https://youtu.be/xkg7370cpjs – Convert to improper fractions
- https://youtu.be/8JyPzTeA_8w – Convert from improper to mixed numbers
- https://youtu.be/f3ySpxX9oeM – Dividing fractions (building intuition)
- https://youtu.be/PQsgXNggV7Q – Dividing fractions (word problems)
- https://youtu.be/m-pRnFIeoNA – Dividing fractions
- https://youtu.be/tnkPY4UqJ44 – Dividing fractions part 2
- https://youtu.be/H0q9Fqb8YT4 – Dividing fractions with negative numbers
Unit 1: Shapes and Designs - Angle and side relationships in polygons and parallel and perpendicular lines
- I can identify if a shape is a polygon and justify my answer. (Know the definition of a polygon)
- I can name a polygon by the number of sides (1-10 sides).
- I can calculate the sum of the interior angles of any polygon.
- I can calculate the measure of one interior angle of any regular polygon.
- I can classify angles as acute, obtuse, right and straight by their measure and/or diagram.
- I can use a protractor and a ruler to construct angle and polygons with specific angles and vertex labels.
- Given one angle, I can find its complement and supplement.
- I can identify adjacent and vertical angles and the use properties of adjacent and vertical angles to solve for unknown angle measures in a multi-step problem.
- I can determine if I can build a triangle from 3 given side lengths.
- Using the properties of angles formed by two parallel lines and a transversal, I can find missing angle measures.
- I can solve problem situations applying the properties of shapes, angles and parallel lines.
Unit 2: Accentuate the Negative - Integers
- I can graph positive and negative values on the coordinate plane.
- I can name the opposite and absolute value of any integer.
- https://youtu.be/2Zk6u7Uk5ow – Opposites of a number
- https://youtu.be/frBJEYvyd-8 – Absolute value on a number line
- I can model integer addition and subtraction with chips and the number line.
- https://youtu.be/AcpIO62x2oo – Adding negative numbers on the number line
- https://youtu.be/NrVvu7cM8_o – Adding positive and negatives on the number line
- https://youtu.be/NQSN00zL5gg – Adding and subtracting negative numbers
- https://youtu.be/lBscLuttQq0 – Subtracting is the same as adding the opposite
- https://youtu.be/Oo2vGhVkvDo – Negative number word problems
- https://youtu.be/qgge1sRfOv0 – Adding and subtracting integers
- I can apply the rules for adding and subtracting integers to rational numbers.
- I can compare and order rational numbers and accurately place them on a number line.
- https://youtu.be/i1i2_9wg6N8 – Ordering rationals on a number line
- I can apply order of operations to expressions involving negative numbers.
- https://youtu.be/ClYdw4d4OmA – Basic introduction
- https://youtu.be/GiSpzFKI5_w – More advanced, no negatives still
- https://youtu.be/gjrGd9TjjnY – Advanced, now with negatives
- I can use the distributive property to expand and factor expressions, including those with negatives and variables.
- https://youtu.be/gl_-E6iVAg4 – Over addition
- https://youtu.be/Badvask-UDU – Over subtraction
- https://youtu.be/ewEorPD4kdA – Advanced with variables
- https://youtu.be/I6TBBzIvgB8 – Factoring with variables
- https://youtu.be/Xtcylk5r0g8 – Distributing and combining like terms
Unit 3: Comparing and Scaling - Ratios and Proportions
- I can write and simplify ratios (with labels) given data in a problem or in a table.
- https://youtu.be/bIKmw0aTmYc – Intro to ratios
- https://youtu.be/UK-_qEDtvYo – Ratios as fractions
- I can write a percent from a ratio or given data.
- https://youtu.be/XHLgY7Z3cb8 – Fractions to decimals
- I can use proportions (equivalent ratios set equal to each other) to solve problem situations.
- I can use part to part ratios and part to whole ratios to solve problem situations (pizza problem and juice problem).
- https://youtu.be/96ZEmUbnuU8 – Setting up proportions from a story problem
- https://youtu.be/4ywTWCaLmXE – Solving proportions from a story problem (only valid until 2:45 – we are not doing cross multiplying right now)
- I can calculate 5, 10, 15, 20, and 25 percent of a number without a calculator.
- https://youtu.be/-lUEWEEpmIo – Percentages of a whole number using fractions.
- http://www.helpingwithmath.com/by_subject/percentages/per_calculating.htm – Scroll down to Unitary Method
- Mental math techniques for percentages
- I can use proportions to convert measurements (inches to feet, etc)
- I can convert fractions to decimals, decimals to simplified fractions, fractions to percents and percents to fractions, and percents to decimals and decimals to percents.
- I can use unit rate to write an equation, draw a graph and solve a problem situation.
Unit 4: Stretching and Shrinking - Similar Figures and Scale Factor
- I can identify similar figures and justifying their similarity.
- I can solve for missing angles and missing sides of similar figures.
- I can identify Scale factor BOTH ways between shapes and showing the Scale Factor impact on area and perimeter.
- I can calculate Area and perimeter of triangles and rectangles and label with correct units.
- I can use the ratios of corresponding sides or Scale Factor to justify similarity.
- I can identify corresponding angles and sides.
Unit 5: Filling and Wrapping - 3D Measurement: surface area and volume
- For all length, volume, and area measures, I can identify and use the appropriate units to label the measures.
- https://youtu.be/ViFLPsLTO1k – Bonus: How to find the volume of a ring
- I can calculate the surface area and volume of rectangular prisms given the length, width, and height of the prism.
- https://youtu.be/EJTPGyWqhqc – volume of a rectangular prism
- I can draw a net of a rectangular prism to scale.
- https://youtu.be/ZACf9EecFrY – Nets
- https://youtu.be/mtMNvnm71Z0 – Net of triangular prism
- I can use the appropriate dimensions of a triangular prism to find the surface area and volume of the prism.
- https://youtu.be/ZqzAOZ9pP9Q – Volume and Surface Area of a Triangular Prism and Cube
- https://goo.gl/zufMsY – Volume of a Triangular Prism from another perspective. I really want you to focus on volume being area of base times height though.
- I can find the area and circumference of a circle with no given formula.
- https://youtu.be/jyLRpr2P0MQ – Radius, diameter, and circumference of a circle
- https://youtu.be/ZyOhRgnFmIY – Area of a circle
- https://youtu.be/Rcb7ZUTOQ1I – Circumference of a circle
- I can find the surface area and volume of a cylinder using the radius of the base and the height of the cylinder.
- https://youtu.be/gL3HxBQyeg0 – Volume and Surface Area of a Cylinder
- Video Link– Another perspective of cylinder volume
- I can find the surface area and volume of a pyramid.
- https://youtu.be/OUDjY6vJ8pw – illustrating that 3 pyramids fit into a rectangular prism
- https://youtu.be/ufnPquf5Y3s – example
- I can solve for the volume of a cone.
- https://youtu.be/hC6zx9WAiC4 – Volume of a Cone
Unit 6: Moving Straight Ahead - Linear functions: graphs, tables, equations and applications
- I can determine if a set of data is linear from a table, graph, or equation.
- I can identify the slope and y-intercept in a graph, table, or equation.
- https://youtu.be/CGZZINHT0I8 – finding intercepts from a table
- https://youtu.be/MeU-KzdCBps – intro to slope *
- https://youtu.be/EQoNfxToez0 – positive and negative slope
- https://youtu.be/6_9xNMtwnfs – developing an intuition about slope
- https://youtu.be/R948Tsyq4vA – finding slope from a graph
- https://youtu.be/81SseQCpGws – more slope from a graph *
- Given two points, I can calculate the slope.
- https://youtu.be/WkspBxrzuZo – slope from points *
- https://youtu.be/CFSHq099Mx0 – more slope from points
- I can solve for the unit rate in a problem and use that in an equation.
- I can create a graph, table, and an equation given a set of data or problem situation.
- https://youtu.be/uk7gS3cZVp4 – graph from slope-intercept form equation *
- I can solve one- and two-step equations.
- https://youtu.be/VidnbCEOGdg – How to solve a one step addition problem
- https://youtu.be/9Ek61w1LxSc – How to solve one step multiplication problems
- https://youtu.be/DqeMQHomwAU – How to solve one step division problems
- https://youtu.be/9DxrF6Ttws4 – Variety of one step equations
- https://youtu.be/_y_Q3_B2Vh8 – Solving two step equations
- https://youtu.be/XoEn1LfVoTo – More two step equations
- https://youtu.be/p5e5mf_G3FI – Two step with fraction
- https://youtu.be/BOIA9wsM4ok – Two step with more fractions
- https://youtu.be/tuVd355R-OQ – More examples of two step equations
- https://youtu.be/f15zA0PhSek – Multi-step equation introduction
- https://youtu.be/1c5HY3z4k8M – Multi-step equation example
- https://youtu.be/PL9UYj2awDc – Multi-step equations with fraction coefficients
- https://youtu.be/6q8mk7z72AU – Mistakes in equation solving
- https://youtu.be/roHvNNFXr4k – Two step word problems
- https://youtu.be/iimpwYBiKNg – More two step word problems
- https://youtu.be/xKH1Evwu150 – Word problem with distributive property
Unit 7: Probability
1. I can make inferences about a population by examining a random sample.
2. I can explain how random sampling produces representative data.
3. I can find the mean, median, and mode of a set of data and explain their significance.
4. I can demonstrate how two data sets that are very different can have similar variabilities.
5. I can draw inferences about the data sets by making a comparison of these differences relative to the MAD (mean absolute deviation) or interquartile range of either set of data.
6. I can compare populations by using means, medians and MAD.
7. I can define probability as a ratio (or a number between 0 and 1) that compares favorable outcomes to all possible outcomes.
8. I can use probability to predict the number of times a particular event will occur given a specific number of trials (using Theoretical probability and proportions).
9. I can explain why experimental probability will not always equal theoretical probability.
10. I can use tree diagrams or other methods to model and list probable outcomes of compound events (sample space).
- Introductory algebra
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