> { Z3bjbjzz 7)  (((<<<8td<jRTT(QQQQQQQ$T:WZR(R.$4$R((QQj}LP0yb0"9N2Q:R0jRkN*WWdPW(P@RRjRW : 3. Objects in the plane can be described and analyzed algebraically
a. Express Geometric Properties with equations.
Use coordinates and the distance formula to compute perimeters of polygons and areas of triangles and rectangles.
We will apply the distance formula and the Pythagorean theorem in problem solving
We will define the distance formula as it applies to the graphing of line segments.
We will use the distance formula to calculate length of segments and determine perimeter of polygons.
We will compute area of rectangle and triangles using the distance formula for the necessary measure to use in the formula.
Know
Appy
Apply
Holt McDougal Algebra 1
Pg. 743755
KUTA Algebra and Geometry software
Holt McDougal Algebra 1
Pg. 924
3. Expressions can be represented in multiple, equivalent formsInterpret the structure of expressions.
Interpret expressions that represent a quantity in terms of its context. I
Interpret parts of an expression, such as terms, factors, and coefficients. I
Interpret complicated expressions by viewing one or more of their parts as a single entity. I
Use the structure of an expression to identify ways to rewrite it. I
We will define expressions and parts therein, ie, terms, factors,constant and coefficients.
We will describe parts of an exression by using the individual parts in isolation then together.
We will interpret complicated expressions by viewing one or more of their parts as a single entity.
We will use the structure of an expression to identify ways to rewrite it.
Know
Comp
Comp
SynthHolt McDougal Algebra 1
Pg. 97
Holt McDougal Algebra 1
Pg. 309
Holt McDougal Algebra 1
Pg. 3648
3. Expressions can be represented in multiple, equivalent formsa. Perform arithmetic operations on polynomials.
Explain that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. I
We will apply operations on polynomials, in the manner that we perform operations on integers.
We will compute problems involving polynomials using the four operations ..
Appl
ApplHolt McDougal Algebra 1
Pg. 555783
2. Quantitative reasoning is used to make sense of quantities and their relationships in problem situations
Reason quantitatively and use units to solve problems
Use units as a way to understand problems and to guide the solution of multistep problems.
Choose and interpret units consistently in formulas.
Choose and interpret the scale and the origin in graphs and data displays. C
Define appropriate quantities for the purpose of descriptive modeling. C
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. C
We will compare unit measures and convert units to the same if needed.
We will choose the scale, units and the origin in graphs. We will determine the data displays that are most appropriate.
We will define appropriate quantities for descriptive modeling.
We will determine what is an appropriate level of accuracyfor the limitations on measurement when
reporting quantities.
We will choose a level of accuracy appropriate to limitations on measurement when reporting quantities
Appl
Appl
Appl
Appl
Holt McDougal Algebra 1
Pg 929
Holt McDougal Algebra 1
Pg. 880
Limitations
1. Visual displays and summary statistics condense the information in data sets into usable knowledgeSummarize, represent, and interpret data on two categorical and quantitative variables.
Summarize categorical data for two categories in twoway frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. I
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models. I
Informally assess the fit of a function by plotting and analyzing residuals. I
Fit a linear function for a scatter plot that suggests a linear association. I
Interpret linear models. Interpret the slope and the intercept of a linear model in the context of the data. I
Using technology, compute and interpret the correlation coefficient of a linear fit. I
We will summarize categorical data for two categories in twoway frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies).
We will analyze data for trends and associations of data represented.
We will represent data in a scatter plot and describe the relationship of the variables.
We will determine which functions to use by studying the data.
We will use linear, quadratic or exponential models to represent data in context.
We will define residuals and fit functions to models by plotting and analyzing these.
We will fit a linear function for a scatter plot that suggests a linear association.
We will interpret linear models. Interpret the slope and the intercept of a linear model in the context of the data
We will use technology to compute and interpret he coefficient of a linear fit.
Analyze
Analyze
Appl
Appl
Appl
Appl
Appl
Appl
Appl
Holt McDougal Algebra 1
Pg. 882
Holt McDougal Algebra 1
Pg. 325
Graphing Calculator
Holt McDougal Algebra 1
Pg. 325
Graphic Calculator
Categorical data
Quantitative data
Residuals
Linear, quadratic, and exponential models
Correlation coefficient
Correlation and causation
3. Probability models outcomes for situations in which there is inherent randomnessUnderstand independence and conditional probability and use them to interpret data.
Describe events as subsets of a sample space using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events. I
Explain that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent. I
Using the conditional probability of A given B as P(A and B)/P(B), interpret the independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of BConstruct and interpret twoway frequency tables of data when two categories are associated with each object being classified. Use the twoway table as a sample space to decide if events are independent and to approximate conditional
probabilities. I
Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. IWe will define independence and conditional probability and use them to interpret data.
We will define and explain that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
We will use conditional probability of A given B as P(A and B)/P(B), interpret the independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.
We will recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.
Appl
Comp
Apply
Comp.
Holt McDougal Algebra 1
Pg. 862
Holt McDougal Algebra 1
Pg. 856
Holt McDougal Algebra 1
Pg. 856
Holt McDougal Algebra 1
Pg. 856
Independent probability
Conditional probability
Twoway frequency tables
4. Attributes of two and threedimensional objects are measurable and can be quantifiedExplain volume formulas and use them to solve problems.
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
We will define volume of in terms of solid geometric figures and 3 dimensions.
We will produce a formula for circumference by using the distance around the circle and the diameter.
We will use the information for circumference of a circle (pie, radius) to determine the area of a circle.
We will correlate the steps we used to find area to determine volume of cylinders, pyramids, and cones.
We will use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Know
Appl
Appl
Apply
Holt McDougal Algebra 1
Pg. 927
Geometry KUTA software
KUTA Algebra 1 software
Volume formulas for cylinder , pyramid, cones and spheres
1. Visual displays and summary statistics condense the information in data sets into usable knowledgeInterpret linear models.
Interpret the slope and the intercept of a linear model in the context of the data. I
Using technology, compute and interpret the correlation coefficient of a linear fit.
I
iii.Distinguish between
correlation and causation. I
We will determine the slope and intercept of a linear model.
We will use technology to compute and interpret the correlation coefficient of linear fit.
We will distinguish between
correlation and causation
Comp
Comp
Holt McDougal Algebra 1
Pg. 244250
Graphing calculator line of regression
Linear models
4. Attributes of two and threedimensional objects are measurable and can be quantifiedVisualize relationships between twodimensional and threedimensional objects.
Identify the shapes of twodimensional crosssections of threedimensional objects, and identify threedimensional objects generated by rotations of
twodimensional objects. I
We will identify twodimensional shapes and compare them to cross sections of threedimensional objects.
Appl
Holt McDougal Geometry book, pg. 656
2 dimensional
3  dimentional
ROCKY FORD CURRICULUM GUIDE
SUBJECT: Algebra I GRADE: High School TIMELINE: 3rd Quarter
Grade Level ExpectationEvidence OutcomeStudentFriendly
Learning ObjectiveLevel of
ThinkingResource Correlation
Academic Vocabulary
Learning Keys, 800.927.0478, HYPERLINK "http://www.learningkeys.org" www.learningkeys.org Page PAGE \* MERGEFORMAT 1
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